22120020220320 has 192 divisors, whose sum is σ = 84458259204480. Its totient is φ = 5362429132800.

The previous prime is 22120020220297. The next prime is 22120020220343. The reversal of 22120020220320 is 2302202002122.

22120020220320 is a `hidden beast` number, since 2 + 2 + 120 + 0 + 2 + 0 + 220 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (22120020220297) and next prime (22120020220343).

It is a super-2 number, since 2×22120020220320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22120020220293 and 22120020220302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232696801 + ... + 232791840.

It is an arithmetic number, because the mean of its divisors is an integer number (439886766690).

Almost surely, 2^{22120020220320} is an apocalyptic number.

22120020220320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120020220320 is an abundant number, since it is smaller than the sum of its proper divisors (62338238984160).

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

22120020220320 is a wasteful number, since it uses less digits than its factorization.

22120020220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465488676 (or 465488662 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22120020220320 its reverse (2302202002122), we get a palindrome (24422222222442).

The spelling of 22120020220320 in words is "twenty-two trillion, one hundred twenty billion, twenty million, two hundred twenty thousand, three hundred twenty".