126221136624 has 320 divisors, whose sum is σ = 400749350400. Its totient is φ = 37718784000.

The previous prime is 126221136599. The next prime is 126221136647. The reversal of 126221136624 is 426631122621.

126221136624 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 21 + 1 + 3 + 6 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196300047 + ... + 196300689.

It is an arithmetic number, because the mean of its divisors is an integer number (1252341720).

Almost surely, 2^126221136624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126221136624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200374675200).

126221136624 is an abundant number, since it is smaller than the sum of its proper divisors (274528213776).

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

126221136624 is a wasteful number, since it uses less digits than its factorization.

126221136624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1169 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 126221136624 in words is "one hundred twenty-six billion, two hundred twenty-one million, one hundred thirty-six thousand, six hundred twenty-four".