129292227072 has 90 divisors (see below), whose sum is σ = 373216579593. Its totient is φ = 43089272832.

The previous prime is 129292227067. The next prime is 129292227131. The reversal of 129292227072 is 270722292921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

129292227072 is a `hidden beast` number, since 1 + 29 + 292 + 2 + 270 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114742077696 + 14550149376 = 338736^2 + 120624^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=254256.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24405928 + ... + 24411224.

Almost surely, 2^129292227072 is an apocalyptic number.

129292227072 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 129292227072

129292227072 is an abundant number, since it is smaller than the sum of its proper divisors (243924352521).

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

129292227072 is an frugal number, since it uses more digits than its factorization.

129292227072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 129292227072 in words is "one hundred twenty-nine billion, two hundred ninety-two million, two hundred twenty-seven thousand, seventy-two".