121535631360 has 1664 divisors, whose sum is σ = 535023014400. Its totient is φ = 25763512320.

The previous prime is 121535631319. The next prime is 121535631361. The reversal of 121535631360 is 63136535121.

121535631360 is a `hidden beast` number, since 1 + 2 + 1 + 535 + 63 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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 (121535631361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2293125094 + ... + 2293125146.

Almost surely, 2^121535631360 is an apocalyptic number.

121535631360 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 121535631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267511507200).

121535631360 is an abundant number, since it is smaller than the sum of its proper divisors (413487383040).

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

121535631360 is a wasteful number, since it uses less digits than its factorization.

121535631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 121535631360 in words is "one hundred twenty-one billion, five hundred thirty-five million, six hundred thirty-one thousand, three hundred sixty".