121705995015 has 128 divisors (see below), whose sum is σ = 248732467200. Its totient is φ = 55841685120.

The previous prime is 121705995001. The next prime is 121705995049. The reversal of 121705995015 is 510599507121.

It is a happy number.

121705995015 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 0 + 599 + 50 + 1 + 5 = 666.

It is not a de Polignac number, because 121705995015 - 2⁷ = 121705994887 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34505182 + ... + 34508708.

It is an arithmetic number, because the mean of its divisors is an integer number (1943222400).

Almost surely, 2^121705995015 is an apocalyptic number.

121705995015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121705995015 is an abundant number, since it is smaller than the sum of its proper divisors (127026472185).

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

121705995015 is a wasteful number, since it uses less digits than its factorization.

121705995015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 45.

The spelling of 121705995015 in words is "one hundred twenty-one billion, seven hundred five million, nine hundred ninety-five thousand, fifteen".