22222201002120 has 384 divisors, whose sum is σ = 85729093632000. Its totient is φ = 5071499548416.

The previous prime is 22222201002091. The next prime is 22222201002173. The reversal of 22222201002120 is 2120010222222.

22222201002120 is a `hidden beast` number, since 2 + 222 + 220 + 10 + 0 + 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 = 22222201002093 and 22222201002102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43769481 + ... + 44274279.

It is an arithmetic number, because the mean of its divisors is an integer number (223252848000).

Almost surely, 2^{22222201002120} is an apocalyptic number.

22222201002120 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 22222201002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42864546816000).

22222201002120 is an abundant number, since it is smaller than the sum of its proper divisors (63506892629880).

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

22222201002120 is a wasteful number, since it uses less digits than its factorization.

22222201002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505479 (or 505463 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22222201002120 its reverse (2120010222222), we get a palindrome (24342211224342).

The spelling of 22222201002120 in words is "twenty-two trillion, two hundred twenty-two billion, two hundred one million, two thousand, one hundred twenty".