12772500400 has 240 divisors, whose sum is σ = 34680967776. Its totient is φ = 4480000000.

The previous prime is 12772500383. The next prime is 12772500409. The reversal of 12772500400 is 400527721.

It is not an unprimeable number, because it can be changed into a prime (12772500409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18220050 + ... + 18220750.

Almost surely, 2^12772500400 is an apocalyptic number.

12772500400 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 12772500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17340483888).

12772500400 is an abundant number, since it is smaller than the sum of its proper divisors (21908467376).

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

12772500400 is a wasteful number, since it uses less digits than its factorization.

12772500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

It can be divided in two parts, 127 and 72500400, that added together give a palindrome (72500527).

The spelling of 12772500400 in words is "twelve billion, seven hundred seventy-two million, five hundred thousand, four hundred".