121557072000 has 1024 divisors, whose sum is σ = 525447336960. Its totient is φ = 24123801600.

The previous prime is 121557071971. The next prime is 121557072011. The reversal of 121557072000 is 270755121.

121557072000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121557072000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 74255182 + ... + 74256818.

It is an arithmetic number, because the mean of its divisors is an integer number (513132165).

Almost surely, 2^121557072000 is an apocalyptic number.

121557072000 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 121557072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262723668480).

121557072000 is an abundant number, since it is smaller than the sum of its proper divisors (403890264960).

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

121557072000 is a wasteful number, since it uses less digits than its factorization.

121557072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The spelling of 121557072000 in words is "one hundred twenty-one billion, five hundred fifty-seven million, seventy-two thousand".