126951200 has 72 divisors (see below), whose sum is σ = 319979520. Its totient is φ = 49132800.

The previous prime is 126951199. The next prime is 126951203. The reversal of 126951200 is 2159621.

It is a super-2 number, since 2×126951200² = 32233214362880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126951200.

It is not an unprimeable number, because it can be changed into a prime (126951203) 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, 22241 + ... + 27359.

It is an arithmetic number, because the mean of its divisors is an integer number (4444160).

Almost surely, 2^126951200 is an apocalyptic number.

126951200 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 126951200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

126951200 is an abundant number, since it is smaller than the sum of its proper divisors (193028320).

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

126951200 is a wasteful number, since it uses less digits than its factorization.

126951200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 126951200 is about 11267.2623116709. The cubic root of 126951200 is about 502.5881795369.

The spelling of 126951200 in words is "one hundred twenty-six million, nine hundred fifty-one thousand, two hundred".