129420929774224 has 405 divisors, whose sum is σ = 298538147894889. Its totient is φ = 54300597795840.

The previous prime is 129420929774179. The next prime is 129420929774249. The reversal of 129420929774224 is 422477929024921.

The square root of 129420929774224 is 11376332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 100760239443600 + 28660690330624 = 10037940^2 + 5353568^2 .

It is a super-2 number, since 2×129420929774224² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 570136254399 + ... + 570136254625.

Almost surely, 2^{129420929774224} is an apocalyptic number.

129420929774224 is the 11376332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129420929774224

129420929774224 is an abundant number, since it is smaller than the sum of its proper divisors (169117218120665).

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

129420929774224 is an equidigital number, since it uses as much as digits as its factorization.

129420929774224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 64.

The spelling of 129420929774224 in words is "one hundred twenty-nine trillion, four hundred twenty billion, nine hundred twenty-nine million, seven hundred seventy-four thousand, two hundred twenty-four".