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122064012 = 223271728493
BaseRepresentation
bin1110100011010…
…00110010001100
322111200111100100
413101220302030
5222222022022
620040131100
73011345520
oct721506214
9274614310
10122064012
11629a1554
1234a66a90
131c39a535
14122d5d80
15aab21ac
hex7468c8c

122064012 has 72 divisors (see below), whose sum is σ = 373385376. Its totient is φ = 32822784.

The previous prime is 122064001. The next prime is 122064023. The reversal of 122064012 is 210460221.

122064012 is a `hidden beast` number, since 1 + 2 + 20 + 640 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (122064001) and next prime (122064023).

It is a super-2 number, since 2×1220640122 = 29799246051072288, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9963 + ... + 18530.

It is an arithmetic number, because the mean of its divisors is an integer number (5185908).

Almost surely, 2122064012 is an apocalyptic number.

122064012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122064012 is an abundant number, since it is smaller than the sum of its proper divisors (251321364).

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

122064012 is a wasteful number, since it uses less digits than its factorization.

122064012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28527 (or 28522 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122064012 is about 11048.2583242790. The cubic root of 122064012 is about 496.0542940479.

The spelling of 122064012 in words is "one hundred twenty-two million, sixty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 28493 56986 85479 113972 170958 199451 256437 341916 398902 484381 512874 598353 797804 968762 1025748 1196706 1453143 1795059 1937524 2393412 2906286 3390667 3590118 4359429 5812572 6781334 7180236 8718858 10172001 13562668 17437716 20344002 30516003 40688004 61032006 122064012