113687421120 has 2016 divisors, whose sum is σ = 544972646400. Its totient is φ = 21116878848.

The previous prime is 113687421097. The next prime is 113687421121. The reversal of 113687421120 is 21124786311.

113687421120 is a `hidden beast` number, since 1 + 1 + 36 + 87 + 421 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113687421121) 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, 1439081241 + ... + 1439081319.

Almost surely, 2^113687421120 is an apocalyptic number.

113687421120 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 113687421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272486323200).

113687421120 is an abundant number, since it is smaller than the sum of its proper divisors (431285225280).

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

113687421120 is a wasteful number, since it uses less digits than its factorization.

113687421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 113687421120 in words is "one hundred thirteen billion, six hundred eighty-seven million, four hundred twenty-one thousand, one hundred twenty".