120651214415121 has 48 divisors (see below), whose sum is σ = 198752303065680. Its totient is φ = 69867953049600.

The previous prime is 120651214415071. The next prime is 120651214415161. The reversal of 120651214415121 is 121514412156021.

120651214415121 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 5 + 1 + 214 + 415 + 1 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2234160973521 + 118417053441600 = 1494711^2 + 10881960^2 .

It is not a de Polignac number, because 120651214415121 - 2⁷ = 120651214414993 is a prime.

It is a super-3 number, since 3×120651214415121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (120651214415161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7129971 + ... + 17092071.

It is an arithmetic number, because the mean of its divisors is an integer number (4140672980535).

Almost surely, 2^{120651214415121} is an apocalyptic number.

It is an amenable number.

120651214415121 is a deficient number, since it is larger than the sum of its proper divisors (78101088650559).

120651214415121 is a wasteful number, since it uses less digits than its factorization.

120651214415121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9968226 (or 9968223 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 120651214415121 in words is "one hundred twenty trillion, six hundred fifty-one billion, two hundred fourteen million, four hundred fifteen thousand, one hundred twenty-one".