21122212022000 has 80 divisors (see below), whose sum is σ = 51163271546400. Its totient is φ = 8434035699200.

The previous prime is 21122212021991. The next prime is 21122212022071. The reversal of 21122212022000 is 22021222112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21122212022000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21122212022000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8142410 + ... + 10418409.

It is an arithmetic number, because the mean of its divisors is an integer number (639540894330).

Almost surely, 2^{21122212022000} is an apocalyptic number.

21122212022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122212022000 is an abundant number, since it is smaller than the sum of its proper divisors (30041059524400).

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

21122212022000 is a wasteful number, since it uses less digits than its factorization.

21122212022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18561411 (or 18561395 counting only the distinct ones).

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

Adding to 21122212022000 its reverse (22021222112), we get a palindrome (21144233244112).

The spelling of 21122212022000 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twelve million, twenty-two thousand".