12935262900 has 288 divisors, whose sum is σ = 44160562432. Its totient is φ = 2861568000.

The previous prime is 12935262887. The next prime is 12935262917. The reversal of 12935262900 is 926253921.

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, 21522600 + ... + 21523200.

Almost surely, 2^12935262900 is an apocalyptic number.

12935262900 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 12935262900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22080281216).

12935262900 is an abundant number, since it is smaller than the sum of its proper divisors (31225299532).

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

12935262900 is a wasteful number, since it uses less digits than its factorization.

12935262900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 12935262900 in words is "twelve billion, nine hundred thirty-five million, two hundred sixty-two thousand, nine hundred".