12626573120 has 224 divisors, whose sum is σ = 37746432000. Its totient is φ = 3922642944.

The previous prime is 12626573119. The next prime is 12626573147. The reversal of 12626573120 is 2137562621.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 972431 + ... + 985329.

Almost surely, 2^12626573120 is an apocalyptic number.

12626573120 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 12626573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873216000).

12626573120 is an abundant number, since it is smaller than the sum of its proper divisors (25119858880).

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

12626573120 is a wasteful number, since it uses less digits than its factorization.

12626573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12965 (or 12955 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 12626573120 in words is "twelve billion, six hundred twenty-six million, five hundred seventy-three thousand, one hundred twenty".