22629129120 has 144 divisors (see below), whose sum is σ = 83162118312. Its totient is φ = 5570242560.

The previous prime is 22629129091. The next prime is 22629129203. The reversal of 22629129120 is 2192192622.

22629129120 is a `hidden beast` number, since 2 + 2 + 629 + 1 + 2 + 9 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14053628304 + 8575500816 = 118548^2 + 92604^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585691 + ... + 623130.

Almost surely, 2^22629129120 is an apocalyptic number.

22629129120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22629129120 is an abundant number, since it is smaller than the sum of its proper divisors (60532989192).

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

22629129120 is a wasteful number, since it uses less digits than its factorization.

22629129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208855 (or 1208844 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 22629129120 in words is "twenty-two billion, six hundred twenty-nine million, one hundred twenty-nine thousand, one hundred twenty".