12401877856900 has 135 divisors (see below), whose sum is σ = 31399921647269. Its totient is φ = 4251480774240.

The previous prime is 12401877856877. The next prime is 12401877856913. The reversal of 12401877856900 is 965877810421.

The square root of 12401877856900 is 3521630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4464676028484 + 7937201828416 = 2112978^2 + 2817304^2 .

It is a super-2 number, since 2×12401877856900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1725595107 + ... + 1725602293.

Almost surely, 2^{12401877856900} is an apocalyptic number.

12401877856900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12401877856900 is the 3521630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12401877856900

12401877856900 is an abundant number, since it is smaller than the sum of its proper divisors (18998043790369).

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

12401877856900 is an frugal number, since it uses more digits than its factorization.

12401877856900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14416 (or 7201 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 58.

The spelling of 12401877856900 in words is "twelve trillion, four hundred one billion, eight hundred seventy-seven million, eight hundred fifty-six thousand, nine hundred".