121189251024 has 180 divisors, whose sum is σ = 362411827596. Its totient is φ = 37673975808.

The previous prime is 121189251023. The next prime is 121189251047. The reversal of 121189251024 is 420152981121.

121189251024 is a `hidden beast` number, since 1 + 2 + 118 + 9 + 2 + 510 + 24 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 42407988624 + 78781262400 = 205932^2 + 280680^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 121189251024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121189251023) 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, 31256574 + ... + 31260450.

Almost surely, 2^121189251024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121189251024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181205913798).

121189251024 is an abundant number, since it is smaller than the sum of its proper divisors (241222576572).

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

121189251024 is a wasteful number, since it uses less digits than its factorization.

121189251024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 121189251024 in words is "one hundred twenty-one billion, one hundred eighty-nine million, two hundred fifty-one thousand, twenty-four".