129112314240 has 1536 divisors, whose sum is σ = 564089702400. Its totient is φ = 24408096768.

The previous prime is 129112314223. The next prime is 129112314271. The reversal of 129112314240 is 42413211921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 129112314198 and 129112314207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1450700116 + ... + 1450700204.

It is an arithmetic number, because the mean of its divisors is an integer number (367245900).

Almost surely, 2^129112314240 is an apocalyptic number.

129112314240 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 129112314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282044851200).

129112314240 is an abundant number, since it is smaller than the sum of its proper divisors (434977388160).

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

129112314240 is a wasteful number, since it uses less digits than its factorization.

129112314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 129112314240 in words is "one hundred twenty-nine billion, one hundred twelve million, three hundred fourteen thousand, two hundred forty".