121139076960 has 576 divisors, whose sum is σ = 482809227264. Its totient is φ = 28416614400.

The previous prime is 121139076941. The next prime is 121139076997. The reversal of 121139076960 is 69670931121.

It is a super-3 number, since 3×121139076960³ (a number of 34 digits) contains 333 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13253512 + ... + 13262648.

It is an arithmetic number, because the mean of its divisors is an integer number (838210464).

Almost surely, 2^121139076960 is an apocalyptic number.

121139076960 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 121139076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241404613632).

121139076960 is an abundant number, since it is smaller than the sum of its proper divisors (361670150304).

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

121139076960 is a wasteful number, since it uses less digits than its factorization.

121139076960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209 (or 9189 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 121139076960 in words is "one hundred twenty-one billion, one hundred thirty-nine million, seventy-six thousand, nine hundred sixty".