222220120122000 has 1920 divisors, whose sum is σ = 1042744380088320. Its totient is φ = 42596928000000.

The previous prime is 222220120121959. The next prime is 222220120122061. The reversal of 222220120122000 is 221021022222.

222220120122000 is a `hidden beast` number, since 2 + 22 + 220 + 1 + 201 + 220 + 0 + 0 = 666.

It is a super-2 number, since 2×222220120122000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40558515261 + ... + 40558520739.

It is an arithmetic number, because the mean of its divisors is an integer number (543096031296).

Almost surely, 2^{222220120122000} is an apocalyptic number.

222220120122000 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 222220120122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521372190044160).

222220120122000 is an abundant number, since it is smaller than the sum of its proper divisors (820524259966320).

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

222220120122000 is a wasteful number, since it uses less digits than its factorization.

222220120122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790 (or 7771 counting only the distinct ones).

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

Adding to 222220120122000 its reverse (221021022222), we get a palindrome (222441141144222).

The spelling of 222220120122000 in words is "two hundred twenty-two trillion, two hundred twenty billion, one hundred twenty million, one hundred twenty-two thousand".