22221112002120 has 192 divisors, whose sum is σ = 75864320064000. Its totient is φ = 5629953246720.

The previous prime is 22221112002071. The next prime is 22221112002169. The reversal of 22221112002120 is 2120021112222.

It is a happy number.

22221112002120 is a `hidden beast` number, since 22 + 221 + 11 + 200 + 212 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22221112002071) and next prime (22221112002169).

It is a super-2 number, since 2×22221112002120² (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 = 22221112002093 and 22221112002102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7772016 + ... + 10239455.

It is an arithmetic number, because the mean of its divisors is an integer number (395126667000).

Almost surely, 2^{22221112002120} is an apocalyptic number.

22221112002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221112002120 is an abundant number, since it is smaller than the sum of its proper divisors (53643208061880).

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

22221112002120 is a wasteful number, since it uses less digits than its factorization.

22221112002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18011660 (or 18011653 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22221112002120 its reverse (2120021112222), we get a palindrome (24341133114342).

The spelling of 22221112002120 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred twelve million, two thousand, one hundred twenty".