222012211001000 has 96 divisors (see below), whose sum is σ = 604326300201000. Its totient is φ = 76118472326400.

The previous prime is 222012211000933. The next prime is 222012211001027. The reversal of 222012211001000 is 100112210222.

It can be written as a sum of positive squares in 4 ways, for example, as 111921207635524 + 110091003365476 = 10579282^2 + 10492426^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2265381725 + ... + 2265479724.

Almost surely, 2^{222012211001000} is an apocalyptic number.

222012211001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222012211001000 is an abundant number, since it is smaller than the sum of its proper divisors (382314089200000).

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

222012211001000 is a wasteful number, since it uses less digits than its factorization.

222012211001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530861484 (or 4530861463 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222012211001000 its reverse (100112210222), we get a palindrome (222112323211222).

The spelling of 222012211001000 in words is "two hundred twenty-two trillion, twelve billion, two hundred eleven million, one thousand".