129226400 has 72 divisors (see below), whose sum is σ = 317729664. Its totient is φ = 51321600.

The previous prime is 129226393. The next prime is 129226403. The reversal of 129226400 is 4622921.

It is a self number, because there is not a number n which added to its sum of digits gives 129226400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129226403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129905 + ... + 130895.

It is an arithmetic number, because the mean of its divisors is an integer number (4412912).

Almost surely, 2^129226400 is an apocalyptic number.

129226400 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 129226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158864832).

129226400 is an abundant number, since it is smaller than the sum of its proper divisors (188503264).

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

129226400 is a wasteful number, since it uses less digits than its factorization.

129226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 129226400 is about 11367.7790267053. The cubic root of 129226400 is about 505.5728557905.

The spelling of 129226400 in words is "one hundred twenty-nine million, two hundred twenty-six thousand, four hundred".