22112221200120 has 128 divisors (see below), whose sum is σ = 74383619112000. Its totient is φ = 5842495111680.

The previous prime is 22112221200101. The next prime is 22112221200127. The reversal of 22112221200120 is 2100212221122.

It is a happy number.

22112221200120 is a `hidden beast` number, since 221 + 1 + 2 + 221 + 200 + 1 + 20 = 666.

It is a super-3 number, since 3×22112221200120³ (a number of 41 digits) contains 333 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 = 22112221200093 and 22112221200102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112221200127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93800991 + ... + 94036430.

Almost surely, 2^{22112221200120} is an apocalyptic number.

22112221200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112221200120 is an abundant number, since it is smaller than the sum of its proper divisors (52271397911880).

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

22112221200120 is a wasteful number, since it uses less digits than its factorization.

22112221200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187837550 (or 187837540 counting only the distinct ones).

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

Adding to 22112221200120 its reverse (2100212221122), we get a palindrome (24212433421242).

The spelling of 22112221200120 in words is "twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, two hundred thousand, one hundred twenty".