12776420821632 has 128 divisors (see below), whose sum is σ = 36559689472320. Its totient is φ = 3929942016000.

The previous prime is 12776420821613. The next prime is 12776420821673. The reversal of 12776420821632 is 23612802467721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12776420821632² (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 15 ways as a sum of consecutive naturals, for example, 15170007 + ... + 15990057.

Almost surely, 2^{12776420821632} is an apocalyptic number.

12776420821632 is a gapful number since it is divisible by the number (12) 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 12776420821632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18279844736160).

12776420821632 is an abundant number, since it is smaller than the sum of its proper divisors (23783268650688).

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

12776420821632 is a wasteful number, since it uses less digits than its factorization.

12776420821632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823202 (or 823190 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 12776420821632 in words is "twelve trillion, seven hundred seventy-six billion, four hundred twenty million, eight hundred twenty-one thousand, six hundred thirty-two".