32202022000212 has 144 divisors (see below), whose sum is σ = 83139513951312. Its totient is φ = 10506831667200.

The previous prime is 32202022000207. The next prime is 32202022000261. The reversal of 32202022000212 is 21200022020223.

32202022000212 is a `hidden beast` number, since 32 + 20 + 202 + 200 + 0 + 212 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12447588396996 + 19754433603216 = 3528114^2 + 4444596^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1626272712 + ... + 1626292512.

It is an arithmetic number, because the mean of its divisors is an integer number (577357735773).

Almost surely, 2^{32202022000212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32202022000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41569756975656).

32202022000212 is an abundant number, since it is smaller than the sum of its proper divisors (50937491951100).

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

32202022000212 is a wasteful number, since it uses less digits than its factorization.

32202022000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24538 (or 24533 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 32202022000212 its reverse (21200022020223), we get a palindrome (53402044020435).

The spelling of 32202022000212 in words is "thirty-two trillion, two hundred two billion, twenty-two million, two hundred twelve", and thus it is an aban number.