212022221132000 has 192 divisors, whose sum is σ = 521628871667904. Its totient is φ = 84696573542400.

The previous prime is 212022221131961. The next prime is 212022221132023. The reversal of 212022221132000 is 231122220212.

It is a super-2 number, since 2×212022221132000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14284316579 + ... + 14284331421.

It is an arithmetic number, because the mean of its divisors is an integer number (2716817039937).

Almost surely, 2^{212022221132000} is an apocalyptic number.

212022221132000 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 212022221132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260814435833952).

212022221132000 is an abundant number, since it is smaller than the sum of its proper divisors (309606650535904).

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

212022221132000 is a wasteful number, since it uses less digits than its factorization.

212022221132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19358 (or 19340 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212022221132000 its reverse (231122220212), we get a palindrome (212253343352212).

The spelling of 212022221132000 in words is "two hundred twelve trillion, twenty-two billion, two hundred twenty-one million, one hundred thirty-two thousand".