12015111302400 has 432 divisors, whose sum is σ = 40003246378368. Its totient is φ = 3175796736000.

The previous prime is 12015111302399. The next prime is 12015111302407. The reversal of 12015111302400 is 420311151021.

12015111302400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12015111302407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080781642 + ... + 1080792758.

Almost surely, 2^{12015111302400} is an apocalyptic number.

12015111302400 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 12015111302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001623189184).

12015111302400 is an abundant number, since it is smaller than the sum of its proper divisors (27988135075968).

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

12015111302400 is a wasteful number, since it uses less digits than its factorization.

12015111302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11638 (or 11619 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 12015111302400 its reverse (420311151021), we get a palindrome (12435422453421).

The spelling of 12015111302400 in words is "twelve trillion, fifteen billion, one hundred eleven million, three hundred two thousand, four hundred".