121930790400 has 840 divisors, whose sum is σ = 461701955880. Its totient is φ = 31890309120.

The previous prime is 121930790363. The next prime is 121930790407. The reversal of 121930790400 is 4097039121.

121930790400 is a `hidden beast` number, since 1 + 219 + 30 + 7 + 9 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121930790407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 681177511 + ... + 681177689.

Almost surely, 2^121930790400 is an apocalyptic number.

121930790400 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 121930790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230850977940).

121930790400 is an abundant number, since it is smaller than the sum of its proper divisors (339771165480).

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

121930790400 is an frugal number, since it uses more digits than its factorization.

121930790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 121930790400 in words is "one hundred twenty-one billion, nine hundred thirty million, seven hundred ninety thousand, four hundred".