12900034560 has 384 divisors, whose sum is σ = 47551795200. Its totient is φ = 2924544000.

The previous prime is 12900034523. The next prime is 12900034561. The reversal of 12900034560 is 6543000921.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12900034561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 51394435 + ... + 51394685.

It is an arithmetic number, because the mean of its divisors is an integer number (123832800).

Almost surely, 2^12900034560 is an apocalyptic number.

12900034560 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 12900034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775897600).

12900034560 is an abundant number, since it is smaller than the sum of its proper divisors (34651760640).

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

12900034560 is a wasteful number, since it uses less digits than its factorization.

12900034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 12900034560 in words is "twelve billion, nine hundred million, thirty-four thousand, five hundred sixty".