126263733120 has 1024 divisors, whose sum is σ = 529943040000. Its totient is φ = 28750546944.

The previous prime is 126263733091. The next prime is 126263733131. The reversal of 126263733120 is 21337362621.

126263733120 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 637 + 3 + 3 + 12 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 480090109 + ... + 480090371.

It is an arithmetic number, because the mean of its divisors is an integer number (517522500).

Almost surely, 2^126263733120 is an apocalyptic number.

126263733120 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 126263733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264971520000).

126263733120 is an abundant number, since it is smaller than the sum of its proper divisors (403679306880).

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

126263733120 is an frugal number, since it uses more digits than its factorization.

126263733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 126263733120 in words is "one hundred twenty-six billion, two hundred sixty-three million, seven hundred thirty-three thousand, one hundred twenty".