222122001122000 has 480 divisors, whose sum is σ = 685932446085120. Its totient is φ = 67903877836800.

The previous prime is 222122001121987. The next prime is 222122001122009. The reversal of 222122001122000 is 221100221222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 222122001122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222122001122009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84625361 + ... + 87210639.

It is an arithmetic number, because the mean of its divisors is an integer number (1429025929344).

Almost surely, 2^{222122001122000} is an apocalyptic number.

222122001122000 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 222122001122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342966223042560).

222122001122000 is an abundant number, since it is smaller than the sum of its proper divisors (463810444963120).

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

222122001122000 is a wasteful number, since it uses less digits than its factorization.

222122001122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585364 (or 2585329 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222122001122000 its reverse (221100221222), we get a palindrome (222343101343222).

The spelling of 222122001122000 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, one million, one hundred twenty-two thousand".