121095290880 has 384 divisors, whose sum is σ = 430244090640. Its totient is φ = 31488737280.

The previous prime is 121095290861. The next prime is 121095290887. The reversal of 121095290880 is 88092590121.

121095290880 is a `hidden beast` number, since 12 + 109 + 529 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×121095290880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121095290887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60455959 + ... + 60457961.

Almost surely, 2^121095290880 is an apocalyptic number.

121095290880 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 121095290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215122045320).

121095290880 is an abundant number, since it is smaller than the sum of its proper divisors (309148799760).

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

121095290880 is an equidigital number, since it uses as much as digits as its factorization.

121095290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 121095290880 in words is "one hundred twenty-one billion, ninety-five million, two hundred ninety thousand, eight hundred eighty".