126118792800 has 2304 divisors, whose sum is σ = 646758604800. Its totient is φ = 22842777600.

The previous prime is 126118792771. The next prime is 126118792817. The reversal of 126118792800 is 8297811621.

126118792800 is a `hidden beast` number, since 1 + 2 + 611 + 8 + 7 + 9 + 28 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 410810247 + ... + 410810553.

It is an arithmetic number, because the mean of its divisors is an integer number (280711200).

Almost surely, 2^126118792800 is an apocalyptic number.

126118792800 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 126118792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323379302400).

126118792800 is an abundant number, since it is smaller than the sum of its proper divisors (520639812000).

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

126118792800 is a wasteful number, since it uses less digits than its factorization.

126118792800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 126118792800 in words is "one hundred twenty-six billion, one hundred eighteen million, seven hundred ninety-two thousand, eight hundred".