15121111243040 has 192 divisors, whose sum is σ = 41027912432640. Its totient is φ = 5208479677440.

The previous prime is 15121111242949. The next prime is 15121111243123. The reversal of 15121111243040 is 4034211112151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286320317 + ... + 286373123.

It is an arithmetic number, because the mean of its divisors is an integer number (213687043920).

Almost surely, 2^{15121111243040} is an apocalyptic number.

15121111243040 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 15121111243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20513956216320).

15121111243040 is an abundant number, since it is smaller than the sum of its proper divisors (25906801189600).

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

15121111243040 is a wasteful number, since it uses less digits than its factorization.

15121111243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61415 (or 61407 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 15121111243040 its reverse (4034211112151), we get a palindrome (19155322355191).

The spelling of 15121111243040 in words is "fifteen trillion, one hundred twenty-one billion, one hundred eleven million, two hundred forty-three thousand, forty".