129039267151872 has 960 divisors, whose sum is σ = 478473275750400. Its totient is φ = 33389724303360.

The previous prime is 129039267151777. The next prime is 129039267151901. The reversal of 129039267151872 is 278151762930921.

It is a happy number.

129039267151872 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 392 + 67 + 1 + 5 + 187 + 2 = 666.

It is a super-2 number, since 2×129039267151872² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 9162761343 + ... + 9162775425.

It is an arithmetic number, because the mean of its divisors is an integer number (498409662240).

Almost surely, 2^{129039267151872} is an apocalyptic number.

129039267151872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129039267151872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239236637875200).

129039267151872 is an abundant number, since it is smaller than the sum of its proper divisors (349434008598528).

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

129039267151872 is a wasteful number, since it uses less digits than its factorization.

129039267151872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14407 (or 14375 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 129039267151872 in words is "one hundred twenty-nine trillion, thirty-nine billion, two hundred sixty-seven million, one hundred fifty-one thousand, eight hundred seventy-two".