222100212012120 has 384 divisors, whose sum is σ = 806264841695040. Its totient is φ = 52666561843200.

The previous prime is 222100212012097. The next prime is 222100212012131. The reversal of 222100212012120 is 21210212001222.

It is a happy number.

222100212012120 is a `hidden beast` number, since 22 + 210 + 0 + 21 + 201 + 212 + 0 = 666.

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 = 222100212012093 and 222100212012102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11139507 + ... + 23838813.

Almost surely, 2^{222100212012120} is an apocalyptic number.

222100212012120 is a gapful number since it is divisible by the number (20) 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 222100212012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403132420847520).

222100212012120 is an abundant number, since it is smaller than the sum of its proper divisors (584164629682920).

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

222100212012120 is a wasteful number, since it uses less digits than its factorization.

222100212012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12699475 (or 12699468 counting only the distinct ones).

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

Adding to 222100212012120 its reverse (21210212001222), we get a palindrome (243310424013342).

The spelling of 222100212012120 in words is "two hundred twenty-two trillion, one hundred billion, two hundred twelve million, twelve thousand, one hundred twenty".