12889776900 has 288 divisors, whose sum is σ = 50074795008. Its totient is φ = 2472307200.

The previous prime is 12889776883. The next prime is 12889776929. The reversal of 12889776900 is 967798821.

It is a super-2 number, since 2×12889776900² (a number of 21 digits) contains 22 as substring.

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, 278839 + ... + 321761.

It is an arithmetic number, because the mean of its divisors is an integer number (173870816).

Almost surely, 2^12889776900 is an apocalyptic number.

12889776900 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 12889776900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25037397504).

12889776900 is an abundant number, since it is smaller than the sum of its proper divisors (37185018108).

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

12889776900 is a wasteful number, since it uses less digits than its factorization.

12889776900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42971 (or 42964 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The spelling of 12889776900 in words is "twelve billion, eight hundred eighty-nine million, seven hundred seventy-six thousand, nine hundred".