126221340960 has 1200 divisors, whose sum is σ = 543428911872. Its totient is φ = 27334195200.

The previous prime is 126221340923. The next prime is 126221340983. The reversal of 126221340960 is 69043122621.

It is a happy number.

126221340960 is a `hidden beast` number, since 1 + 2 + 6 + 221 + 340 + 96 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 4071656145 + ... + 4071656175.

Almost surely, 2^126221340960 is an apocalyptic number.

126221340960 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 126221340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271714455936).

126221340960 is an abundant number, since it is smaller than the sum of its proper divisors (417207570912).

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

126221340960 is an equidigital number, since it uses as much as digits as its factorization.

126221340960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 126221340960 in words is "one hundred twenty-six billion, two hundred twenty-one million, three hundred forty thousand, nine hundred sixty".