126630313200 has 360 divisors, whose sum is σ = 457788494800. Its totient is φ = 33614714880.

The previous prime is 126630313169. The next prime is 126630313211. The reversal of 126630313200 is 2313036621.

It is a happy number.

126630313200 is a `hidden beast` number, since 1 + 2 + 6 + 630 + 3 + 1 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×126630313200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22255956 + ... + 22261644.

Almost surely, 2^126630313200 is an apocalyptic number.

126630313200 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 126630313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228894247400).

126630313200 is an abundant number, since it is smaller than the sum of its proper divisors (331158181600).

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

126630313200 is a wasteful number, since it uses less digits than its factorization.

126630313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 126630313200 its reverse (2313036621), we get a palindrome (128943349821).

The spelling of 126630313200 in words is "one hundred twenty-six billion, six hundred thirty million, three hundred thirteen thousand, two hundred".