129614112 has 72 divisors (see below), whose sum is σ = 369811260. Its totient is φ = 43061760.

The previous prime is 129614099. The next prime is 129614123. The reversal of 129614112 is 211416921.

It can be written as a sum of positive squares in 2 ways, for example, as 112275216 + 17338896 = 10596^2 + 4164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120714 + ... + 121782.

Almost surely, 2^129614112 is an apocalyptic number.

129614112 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 129614112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184905630).

129614112 is an abundant number, since it is smaller than the sum of its proper divisors (240197148).

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

129614112 is a wasteful number, since it uses less digits than its factorization.

129614112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1495 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 129614112 is about 11384.8193661560. The cubic root of 129614112 is about 506.0779666036.

The spelling of 129614112 in words is "one hundred twenty-nine million, six hundred fourteen thousand, one hundred twelve".