222021120212000 has 96 divisors (see below), whose sum is σ = 545955620608944. Its totient is φ = 88735232256000.

The previous prime is 222021120211951. The next prime is 222021120212041. The reversal of 222021120212000 is 212021120222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3311686598416 + 218709433613584 = 1819804^2 + 14788828^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 222021120212000.

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 15 ways as a sum of consecutive naturals, for example, 18027341 + ... + 27731340.

Almost surely, 2^{222021120212000} is an apocalyptic number.

222021120212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222021120212000 is an abundant number, since it is smaller than the sum of its proper divisors (323934500396944).

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

222021120212000 is a wasteful number, since it uses less digits than its factorization.

222021120212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45759919 (or 45759901 counting only the distinct ones).

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

Adding to 222021120212000 its reverse (212021120222), we get a palindrome (222233141332222).

It can be divided in two parts, 222021 and 120212000, that added together give a palindrome (120434021).

The spelling of 222021120212000 in words is "two hundred twenty-two trillion, twenty-one billion, one hundred twenty million, two hundred twelve thousand".