12629136 has 80 divisors (see below), whose sum is σ = 36150464. Its totient is φ = 3773952.

The previous prime is 12629131. The next prime is 12629153. The reversal of 12629136 is 63192621.

It is a super-2 number, since 2×12629136² = 318990152212992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12629131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22815 + ... + 23361.

Almost surely, 2^12629136 is an apocalyptic number.

12629136 is a gapful number since it is divisible by the number (16) 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 12629136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18075232).

12629136 is an abundant number, since it is smaller than the sum of its proper divisors (23521328).

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

12629136 is a wasteful number, since it uses less digits than its factorization.

12629136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 12629136 is about 3553.7495691171. The cubic root of 12629136 is about 232.8759001933.

The spelling of 12629136 in words is "twelve million, six hundred twenty-nine thousand, one hundred thirty-six".