126221950080 has 160 divisors (see below), whose sum is σ = 450761558940. Its totient is φ = 33659172864.

The previous prime is 126221950067. The next prime is 126221950087. The reversal of 126221950080 is 80059122621.

126221950080 is a `hidden beast` number, since 1 + 2 + 62 + 2 + 19 + 500 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116619518016 + 9602432064 = 341496^2 + 97992^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (126221950087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1165579 + ... + 1269258.

Almost surely, 2^126221950080 is an apocalyptic number.

126221950080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126221950080 is an abundant number, since it is smaller than the sum of its proper divisors (324539608860).

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

126221950080 is an equidigital number, since it uses as much as digits as its factorization.

126221950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434868 (or 2434847 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 126221950080 in words is "one hundred twenty-six billion, two hundred twenty-one million, nine hundred fifty thousand, eighty".