121457723904 has 480 divisors, whose sum is σ = 403310793600. Its totient is φ = 34843361280.

The previous prime is 121457723899. The next prime is 121457723921. The reversal of 121457723904 is 409327754121.

121457723904 is a `hidden beast` number, since 121 + 457 + 72 + 3 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121457723904.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77906677 + ... + 77908235.

It is an arithmetic number, because the mean of its divisors is an integer number (840230820).

Almost surely, 2^121457723904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121457723904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201655396800).

121457723904 is an abundant number, since it is smaller than the sum of its proper divisors (281853069696).

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

121457723904 is a wasteful number, since it uses less digits than its factorization.

121457723904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 121457723904 in words is "one hundred twenty-one billion, four hundred fifty-seven million, seven hundred twenty-three thousand, nine hundred four".