121584450624 has 112 divisors (see below), whose sum is σ = 395928908928. Its totient is φ = 32066224128.

The previous prime is 121584450613. The next prime is 121584450697. The reversal of 121584450624 is 426054485121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3461937 + ... + 3496880.

It is an arithmetic number, because the mean of its divisors is an integer number (3535079544).

Almost surely, 2^121584450624 is an apocalyptic number.

121584450624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

121584450624 is an abundant number, since it is smaller than the sum of its proper divisors (274344458304).

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

121584450624 is a wasteful number, since it uses less digits than its factorization.

121584450624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958852 (or 6958842 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 121584450624 in words is "one hundred twenty-one billion, five hundred eighty-four million, four hundred fifty thousand, six hundred twenty-four".