12704879700 has 288 divisors, whose sum is σ = 42507696000. Its totient is φ = 3251404800.

The previous prime is 12704879689. The next prime is 12704879713. The reversal of 12704879700 is 797840721.

It is a happy number.

12704879700 is a `hidden beast` number, since 12 + 70 + 487 + 97 + 0 + 0 = 666.

It is a super-2 number, since 2×12704879700² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16520916 + ... + 16521684.

Almost surely, 2^12704879700 is an apocalyptic number.

12704879700 is a gapful number since it is divisible by the number (10) 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 12704879700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21253848000).

12704879700 is an abundant number, since it is smaller than the sum of its proper divisors (29802816300).

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

12704879700 is a wasteful number, since it uses less digits than its factorization.

12704879700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 12704879700 in words is "twelve billion, seven hundred four million, eight hundred seventy-nine thousand, seven hundred".