120121120980 has 288 divisors, whose sum is σ = 433689984000. Its totient is φ = 26330379264.

The previous prime is 120121120979. The next prime is 120121121011. The reversal of 120121120980 is 89021121021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5433429 + ... + 5455491.

It is an arithmetic number, because the mean of its divisors is an integer number (1505868000).

Almost surely, 2^120121120980 is an apocalyptic number.

120121120980 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 120121120980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216844992000).

120121120980 is an abundant number, since it is smaller than the sum of its proper divisors (313568863020).

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

120121120980 is a wasteful number, since it uses less digits than its factorization.

120121120980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22263 (or 22258 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 120121120980 in words is "one hundred twenty billion, one hundred twenty-one million, one hundred twenty thousand, nine hundred eighty".