121092001199967 has 16 divisors (see below), whose sum is σ = 184532043647232. Its totient is φ = 69191342146560.

The previous prime is 121092001199899. The next prime is 121092001199977. The reversal of 121092001199967 is 769991100290121.

It is not a de Polignac number, because 121092001199967 - 2²⁰ = 121092000151391 is a prime.

It is a super-2 number, since 2×121092001199967² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121092001199977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169932258 + ... + 170643359.

It is an arithmetic number, because the mean of its divisors is an integer number (11533252727952).

Almost surely, 2^{121092001199967} is an apocalyptic number.

121092001199967 is a deficient number, since it is larger than the sum of its proper divisors (63440042447265).

121092001199967 is a wasteful number, since it uses less digits than its factorization.

121092001199967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340592558.

The product of its (nonzero) digits is 1102248, while the sum is 57.

The spelling of 121092001199967 in words is "one hundred twenty-one trillion, ninety-two billion, one million, one hundred ninety-nine thousand, nine hundred sixty-seven".