113114014121200 has 180 divisors, whose sum is σ = 287654495746464. Its totient is φ = 42718111104000.

The previous prime is 113114014121117. The next prime is 113114014121201. The reversal of 113114014121200 is 2121410411311.

It is a super-2 number, since 2×113114014121200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113114014121201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12171849 + ... + 19348951.

Almost surely, 2^{113114014121200} is an apocalyptic number.

113114014121200 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 113114014121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143827247873232).

113114014121200 is an abundant number, since it is smaller than the sum of its proper divisors (174540481625264).

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

113114014121200 is a wasteful number, since it uses less digits than its factorization.

113114014121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7177224 (or 7177182 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 113114014121200 its reverse (2121410411311), we get a palindrome (115235424532511).

The spelling of 113114014121200 in words is "one hundred thirteen trillion, one hundred fourteen billion, fourteen million, one hundred twenty-one thousand, two hundred".