126226720656 has 225 divisors, whose sum is σ = 373239852843. Its totient is φ = 41184521280.

The previous prime is 126226720639. The next prime is 126226720663. The reversal of 126226720656 is 656027622621.

The square root of 126226720656 is 355284.

It is a perfect power (a square), and thus also a powerful number.

126226720656 is a `hidden beast` number, since 12 + 622 + 6 + 7 + 2 + 0 + 6 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 908105835 + ... + 908105973.

Almost surely, 2^126226720656 is an apocalyptic number.

126226720656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

126226720656 is the 355284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126226720656

126226720656 is an abundant number, since it is smaller than the sum of its proper divisors (247013132187).

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

126226720656 is an frugal number, since it uses more digits than its factorization.

126226720656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 126226720656 in words is "one hundred twenty-six billion, two hundred twenty-six million, seven hundred twenty thousand, six hundred fifty-six".