121364622072 has 192 divisors, whose sum is σ = 378983124000. Its totient is φ = 34827190272.

The previous prime is 121364622061. The next prime is 121364622073. The reversal of 121364622072 is 270226463121.

121364622072 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 646 + 2 + 2 + 0 + 7 + 2 = 666.

121364622072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (121364622073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584448 + ... + 764400.

Almost surely, 2^121364622072 is an apocalyptic number.

121364622072 is a gapful number since it is divisible by the number (12) 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 121364622072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189491562000).

121364622072 is an abundant number, since it is smaller than the sum of its proper divisors (257618501928).

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

121364622072 is a wasteful number, since it uses less digits than its factorization.

121364622072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180030 (or 180023 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 121364622072 in words is "one hundred twenty-one billion, three hundred sixty-four million, six hundred twenty-two thousand, seventy-two".