126360997200 has 720 divisors, whose sum is σ = 497385308160. Its totient is φ = 29538432000.

The previous prime is 126360997187. The next prime is 126360997207. The reversal of 126360997200 is 2799063621.

It is a happy number.

126360997200 is a `hidden beast` number, since 1 + 2 + 636 + 0 + 9 + 9 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×126360997200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126360997207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48767905 + ... + 48770495.

It is an arithmetic number, because the mean of its divisors is an integer number (690812928).

Almost surely, 2^126360997200 is an apocalyptic number.

126360997200 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 126360997200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248692654080).

126360997200 is an abundant number, since it is smaller than the sum of its proper divisors (371024310960).

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

126360997200 is a wasteful number, since it uses less digits than its factorization.

126360997200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 126360997200 in words is "one hundred twenty-six billion, three hundred sixty million, nine hundred ninety-seven thousand, two hundred".