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12507012 = 22327311601
BaseRepresentation
bin101111101101…
…011110000100
3212112102101200
4233231132010
511200211022
61124022500
7211210410
oct57553604
925472350
1012507012
117072781
124231a30
13278b9cb
141937d40
151170bac
hexbed784

12507012 has 72 divisors (see below), whose sum is σ = 37320192. Its totient is φ = 3456000.

The previous prime is 12506983. The next prime is 12507031. The reversal of 12507012 is 21070521.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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, 7012 + ... + 8612.

It is an arithmetic number, because the mean of its divisors is an integer number (518336).

Almost surely, 212507012 is an apocalyptic number.

12507012 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 12507012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18660096).

12507012 is an abundant number, since it is smaller than the sum of its proper divisors (24813180).

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

12507012 is a wasteful number, since it uses less digits than its factorization.

12507012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12507012 is about 3536.5254134532. The cubic root of 12507012 is about 232.1228293299.

Adding to 12507012 its reverse (21070521), we get a palindrome (33577533).

The spelling of 12507012 in words is "twelve million, five hundred seven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1601 1953 2604 3202 3906 4803 6404 7812 9606 11207 14409 19212 22414 28818 33621 44828 49631 57636 67242 99262 100863 134484 148893 198524 201726 297786 347417 403452 446679 595572 694834 893358 1042251 1389668 1786716 2084502 3126753 4169004 6253506 12507012