126022321440 has 144 divisors (see below), whose sum is σ = 452685542400. Its totient is φ = 31837211136.

The previous prime is 126022321429. The next prime is 126022321463. The reversal of 126022321440 is 44123220621.

126022321440 is a `hidden beast` number, since 1 + 2 + 602 + 2 + 3 + 2 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×126022321440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2275680 + ... + 2330399.

It is an arithmetic number, because the mean of its divisors is an integer number (3143649600).

Almost surely, 2^126022321440 is an apocalyptic number.

126022321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126022321440 is an abundant number, since it is smaller than the sum of its proper divisors (326663220960).

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

126022321440 is a wasteful number, since it uses less digits than its factorization.

126022321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606119 (or 4606108 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 126022321440 in words is "one hundred twenty-six billion, twenty-two million, three hundred twenty-one thousand, four hundred forty".