222122011221000 has 576 divisors, whose sum is σ = 836533973162160. Its totient is φ = 53110100736000.

The previous prime is 222122011220933. The next prime is 222122011221031. The reversal of 222122011221000 is 122110221222.

It is a happy number.

222122011221000 is a `hidden beast` number, since 2 + 221 + 220 + 1 + 1 + 221 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6587137837764 + 215534873383236 = 2566542^2 + 14681106^2 .

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 143 ways as a sum of consecutive naturals, for example, 78099954 + ... + 80894046.

Almost surely, 2^{222122011221000} is an apocalyptic number.

222122011221000 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 222122011221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418266986581080).

222122011221000 is an abundant number, since it is smaller than the sum of its proper divisors (614411961941160).

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

222122011221000 is a wasteful number, since it uses less digits than its factorization.

222122011221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794215 (or 2794187 counting only the distinct ones).

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

Adding to 222122011221000 its reverse (122110221222), we get a palindrome (222244121442222).

The spelling of 222122011221000 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, eleven million, two hundred twenty-one thousand".