12113767058400 has 1152 divisors, whose sum is σ = 50655057868800. Its totient is φ = 2736654336000.

The previous prime is 12113767058389. The next prime is 12113767058413. The reversal of 12113767058400 is 485076731121.

12113767058400 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 3 + 7 + 67 + 0 + 584 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9904960189 + ... + 9904961411.

It is an arithmetic number, because the mean of its divisors is an integer number (43971404400).

Almost surely, 2^{12113767058400} is an apocalyptic number.

12113767058400 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 12113767058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25327528934400).

12113767058400 is an abundant number, since it is smaller than the sum of its proper divisors (38541290810400).

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

12113767058400 is a wasteful number, since it uses less digits than its factorization.

12113767058400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 12113767058400 in words is "twelve trillion, one hundred thirteen billion, seven hundred sixty-seven million, fifty-eight thousand, four hundred".