121624361057199 has 128 divisors (see below), whose sum is σ = 225253649940480. Its totient is φ = 56307167884800.

The previous prime is 121624361057131. The next prime is 121624361057207. The reversal of 121624361057199 is 991750163426121.

It is not a de Polignac number, because 121624361057199 - 2⁹ = 121624361056687 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121624361017199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2489879994 + ... + 2489928840.

It is an arithmetic number, because the mean of its divisors is an integer number (1759794140160).

Almost surely, 2^{121624361057199} is an apocalyptic number.

121624361057199 is a deficient number, since it is larger than the sum of its proper divisors (103629288883281).

121624361057199 is a wasteful number, since it uses less digits than its factorization.

121624361057199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77501.

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 121624361057199 in words is "one hundred twenty-one trillion, six hundred twenty-four billion, three hundred sixty-one million, fifty-seven thousand, one hundred ninety-nine".