222121221121000 has 128 divisors (see below), whose sum is σ = 521387250658560. Its totient is φ = 88571006304000.

The previous prime is 222121221120989. The next prime is 222121221121001. The reversal of 222121221121000 is 121122121222.

It is not an unprimeable number, because it can be changed into a prime (222121221121001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3910074597 + ... + 3910131403.

It is an arithmetic number, because the mean of its divisors is an integer number (4073337895770).

Almost surely, 2^{222121221121000} is an apocalyptic number.

222121221121000 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 222121221121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260693625329280).

222121221121000 is an abundant number, since it is smaller than the sum of its proper divisors (299266029537560).

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

222121221121000 is a wasteful number, since it uses less digits than its factorization.

222121221121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68972 (or 68958 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 222121221121000 its reverse (121122121222), we get a palindrome (222242343242222).

The spelling of 222121221121000 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand".