12114388915200 has 3168 divisors, whose sum is σ = 54549058636800. Its totient is φ = 2526806016000.

The previous prime is 12114388915177. The next prime is 12114388915201. The reversal of 12114388915200 is 251988341121.

12114388915200 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 38 + 8 + 91 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-3 number, since 3×12114388915200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114388915201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29619532596 + ... + 29619533004.

Almost surely, 2^{12114388915200} is an apocalyptic number.

12114388915200 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 12114388915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27274529318400).

12114388915200 is an abundant number, since it is smaller than the sum of its proper divisors (42434669721600).

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

12114388915200 is a wasteful number, since it uses less digits than its factorization.

12114388915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 12114388915200 in words is "twelve trillion, one hundred fourteen billion, three hundred eighty-eight million, nine hundred fifteen thousand, two hundred".