121034936880 has 1120 divisors, whose sum is σ = 518048842752. Its totient is φ = 25866086400.

The previous prime is 121034936849. The next prime is 121034936899. The reversal of 121034936880 is 88639430121.

121034936880 is a `hidden beast` number, since 1 + 21 + 0 + 3 + 493 + 68 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 191814165 + ... + 191814795.

Almost surely, 2^121034936880 is an apocalyptic number.

121034936880 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 121034936880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259024421376).

121034936880 is an abundant number, since it is smaller than the sum of its proper divisors (397013905872).

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

121034936880 is a wasteful number, since it uses less digits than its factorization.

121034936880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 121034936880 in words is "one hundred twenty-one billion, thirty-four million, nine hundred thirty-six thousand, eight hundred eighty".