12919653120 has 576 divisors, whose sum is σ = 47682432000. Its totient is φ = 2952069120.

The previous prime is 12919653113. The next prime is 12919653143. The reversal of 12919653120 is 2135691921.

It is a super-2 number, since 2×12919653120² (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 63 ways as a sum of consecutive naturals, for example, 64922781 + ... + 64922979.

It is an arithmetic number, because the mean of its divisors is an integer number (82782000).

Almost surely, 2^12919653120 is an apocalyptic number.

12919653120 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 12919653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23841216000).

12919653120 is an abundant number, since it is smaller than the sum of its proper divisors (34762778880).

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

12919653120 is a wasteful number, since it uses less digits than its factorization.

12919653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The spelling of 12919653120 in words is "twelve billion, nine hundred nineteen million, six hundred fifty-three thousand, one hundred twenty".