12901377600 has 336 divisors, whose sum is σ = 47686203840. Its totient is φ = 3392409600.

The previous prime is 12901377589. The next prime is 12901377613. The reversal of 12901377600 is 677310921.

It is a happy number.

12901377600 is a `hidden beast` number, since 12 + 9 + 0 + 1 + 37 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3151555 + ... + 3155645.

Almost surely, 2^12901377600 is an apocalyptic number.

12901377600 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 12901377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23843101920).

12901377600 is an abundant number, since it is smaller than the sum of its proper divisors (34784826240).

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

12901377600 is a wasteful number, since it uses less digits than its factorization.

12901377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 12901377600 in words is "twelve billion, nine hundred one million, three hundred seventy-seven thousand, six hundred".