9422012620800 has 672 divisors, whose sum is σ = 37278040719360. Its totient is φ = 2319246950400.

The previous prime is 9422012620759. The next prime is 9422012620817. The reversal of 9422012620800 is 80262102249.

9422012620800 is a `hidden beast` number, since 9 + 4 + 2 + 20 + 1 + 2 + 620 + 8 + 0 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71819265 + ... + 71950335.

It is an arithmetic number, because the mean of its divisors is an integer number (55473274880).

Almost surely, 2^{9422012620800} is an apocalyptic number.

9422012620800 is a gapful number since it is divisible by the number (90) 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 9422012620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18639020359680).

9422012620800 is an abundant number, since it is smaller than the sum of its proper divisors (27856028098560).

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

9422012620800 is a wasteful number, since it uses less digits than its factorization.

9422012620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131129 (or 131094 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 9422012620800 in words is "nine trillion, four hundred twenty-two billion, twelve million, six hundred twenty thousand, eight hundred".