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123312132 = 22344353167
BaseRepresentation
bin1110101100110…
…01100000000100
322121000220110000
413112121200010
5223031442012
620123001300
73025064406
oct726314004
9277026400
10123312132
1163674259
1235369230
131c716678
141253cb76
15ac5bddc
hex7599804

123312132 has 120 divisors (see below), whose sum is σ = 338095296. Its totient is φ = 39154752.

The previous prime is 123312113. The next prime is 123312181. The reversal of 123312132 is 231213321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 738313 + ... + 738479.

Almost surely, 2123312132 is an apocalyptic number.

123312132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123312132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169047648).

123312132 is an abundant number, since it is smaller than the sum of its proper divisors (214783164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123312132 is a wasteful number, since it uses less digits than its factorization.

123312132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 123312132 is about 11104.5995875583. The cubic root of 123312132 is about 497.7393032388.

Adding to 123312132 its reverse (231213321), we get a palindrome (354525453).

The spelling of 123312132 in words is "one hundred twenty-three million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 53 54 81 86 106 108 129 159 162 167 172 212 258 318 324 334 387 477 501 516 636 668 774 954 1002 1161 1431 1503 1548 1908 2004 2279 2322 2862 3006 3483 4293 4509 4558 4644 5724 6012 6837 6966 7181 8586 8851 9018 9116 13527 13674 13932 14362 17172 17702 18036 20511 21543 26553 27054 27348 28724 35404 41022 43086 53106 54108 61533 64629 79659 82044 86172 106212 123066 129258 159318 184599 193887 238977 246132 258516 318636 369198 380593 387774 477954 581661 716931 738396 761186 775548 955908 1141779 1163322 1433862 1522372 2283558 2326644 2867724 3425337 4567116 6850674 10276011 13701348 20552022 30828033 41104044 61656066 123312132