220222210122000 has 960 divisors, whose sum is σ = 844041586452480. Its totient is φ = 53307072000000.

The previous prime is 220222210121951. The next prime is 220222210122017. The reversal of 220222210122000 is 221012222022.

220222210122000 is a `hidden beast` number, since 2 + 20 + 222 + 210 + 12 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1070699170 + ... + 1070904830.

It is an arithmetic number, because the mean of its divisors is an integer number (879209985888).

Almost surely, 2^{220222210122000} is an apocalyptic number.

220222210122000 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 220222210122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422020793226240).

220222210122000 is an abundant number, since it is smaller than the sum of its proper divisors (623819376330480).

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

220222210122000 is a wasteful number, since it uses less digits than its factorization.

220222210122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205841 (or 205822 counting only the distinct ones).

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

Adding to 220222210122000 its reverse (221012222022), we get a palindrome (220443222344022).

The spelling of 220222210122000 in words is "two hundred twenty trillion, two hundred twenty-two billion, two hundred ten million, one hundred twenty-two thousand".