121093834118400 has 2160 divisors, whose sum is σ = 526887482751168. Its totient is φ = 27053015040000.

The previous prime is 121093834118381. The next prime is 121093834118401. The reversal of 121093834118400 is 4811438390121.

121093834118400 is a `hidden beast` number, since 1 + 2 + 10 + 93 + 8 + 34 + 118 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×121093834118400² (a number of 29 digits) contains 22 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 (121093834118401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 67236997500 + ... + 67236999300.

Almost surely, 2^{121093834118400} is an apocalyptic number.

121093834118400 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 121093834118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263443741375584).

121093834118400 is an abundant number, since it is smaller than the sum of its proper divisors (405793648632768).

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

121093834118400 is a wasteful number, since it uses less digits than its factorization.

121093834118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 121093834118400 in words is "one hundred twenty-one trillion, ninety-three billion, eight hundred thirty-four million, one hundred eighteen thousand, four hundred".