12115161938880 has 4480 divisors, whose sum is σ = 62045000607744. Its totient is φ = 2177459159040.

The previous prime is 12115161938861. The next prime is 12115161938903. The reversal of 12115161938880 is 8883916151121.

12115161938880 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 516 + 19 + 38 + 8 + 80 = 666.

12115161938880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 53370757327 + ... + 53370757553.

Almost surely, 2^{12115161938880} is an apocalyptic number.

12115161938880 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 12115161938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31022500303872).

12115161938880 is an abundant number, since it is smaller than the sum of its proper divisors (49929838668864).

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

12115161938880 is a wasteful number, since it uses less digits than its factorization.

12115161938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 12115161938880 in words is "twelve trillion, one hundred fifteen billion, one hundred sixty-one million, nine hundred thirty-eight thousand, eight hundred eighty".