222212220201000 has 192 divisors, whose sum is σ = 751112117992080. Its totient is φ = 59253845414400.

The previous prime is 222212220200947. The next prime is 222212220201071. The reversal of 222212220201000 is 102022212222.

222212220201000 is a `hidden beast` number, since 22 + 221 + 2 + 220 + 201 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10149716683044 + 212062503517956 = 3185862^2 + 14562366^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197411782 + ... + 198534218.

Almost surely, 2^{222212220201000} is an apocalyptic number.

222212220201000 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 222212220201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375556058996040).

222212220201000 is an abundant number, since it is smaller than the sum of its proper divisors (528899897791080).

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

222212220201000 is a wasteful number, since it uses less digits than its factorization.

222212220201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144461 (or 1144444 counting only the distinct ones).

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

Adding to 222212220201000 its reverse (102022212222), we get a palindrome (222314242413222).

The spelling of 222212220201000 in words is "two hundred twenty-two trillion, two hundred twelve billion, two hundred twenty million, two hundred one thousand".