129260251120 has 320 divisors, whose sum is σ = 416533340160. Its totient is φ = 35989401600.

The previous prime is 129260251097. The next prime is 129260251129. The reversal of 129260251120 is 21152062921.

129260251120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×129260251120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129260251129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2456446 + ... + 2508514.

It is an arithmetic number, because the mean of its divisors is an integer number (1301666688).

Almost surely, 2^129260251120 is an apocalyptic number.

129260251120 is a gapful number since it is divisible by the number (10) 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 129260251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208266670080).

129260251120 is an abundant number, since it is smaller than the sum of its proper divisors (287273089040).

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

129260251120 is a wasteful number, since it uses less digits than its factorization.

129260251120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52144 (or 52138 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 129260251120 in words is "one hundred twenty-nine billion, two hundred sixty million, two hundred fifty-one thousand, one hundred twenty".