126799200 has 216 divisors, whose sum is σ = 488078136. Its totient is φ = 30720000.

The previous prime is 126799199. The next prime is 126799219. The reversal of 126799200 is 2997621.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78400 + ... + 80000.

It is an arithmetic number, because the mean of its divisors is an integer number (2259621).

Almost surely, 2^126799200 is an apocalyptic number.

126799200 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 126799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244039068).

126799200 is an abundant number, since it is smaller than the sum of its proper divisors (361278936).

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

126799200 is a wasteful number, since it uses less digits than its factorization.

126799200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 126799200 is about 11260.5150859097. The cubic root of 126799200 is about 502.3875147343.

The spelling of 126799200 in words is "one hundred twenty-six million, seven hundred ninety-nine thousand, two hundred".