120129906643218 has 24 divisors (see below), whose sum is σ = 265819367893248. Its totient is φ = 39191317060632.

The previous prime is 120129906643183. The next prime is 120129906643247. The reversal of 120129906643218 is 812346609921021.

It is a happy number.

120129906643218 is a `hidden beast` number, since 1 + 20 + 1 + 299 + 0 + 6 + 6 + 4 + 321 + 8 = 666.

It is a super-3 number, since 3×120129906643218³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70998761946 + ... + 70998763637.

It is an arithmetic number, because the mean of its divisors is an integer number (11075806995552).

Almost surely, 2^{120129906643218} is an apocalyptic number.

120129906643218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

120129906643218 is an abundant number, since it is smaller than the sum of its proper divisors (145689461250030).

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

120129906643218 is a wasteful number, since it uses less digits than its factorization.

120129906643218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141997525638 (or 141997525635 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 120129906643218 in words is "one hundred twenty trillion, one hundred twenty-nine billion, nine hundred six million, six hundred forty-three thousand, two hundred eighteen".