129914400000 has 1728 divisors, whose sum is σ = 582502717440. Its totient is φ = 24883200000.

The previous prime is 129914399999. The next prime is 129914400041. The reversal of 129914400000 is 4419921.

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

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, 3511199982 + ... + 3511200018.

It is an arithmetic number, because the mean of its divisors is an integer number (337096480).

Almost surely, 2^129914400000 is an apocalyptic number.

129914400000 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 129914400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291251358720).

129914400000 is an abundant number, since it is smaller than the sum of its proper divisors (452588317440).

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

129914400000 is an equidigital number, since it uses as much as digits as its factorization.

129914400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 129914400000 its reverse (4419921), we get a palindrome (129918819921).

The spelling of 129914400000 in words is "one hundred twenty-nine billion, nine hundred fourteen million, four hundred thousand".