21202212200000 has 168 divisors, whose sum is σ = 56633301189864. Its totient is φ = 7828508160000.

The previous prime is 21202212199951. The next prime is 21202212200003. The reversal of 21202212200000 is 221220212.

It can be written as a sum of positive squares in 12 ways, for example, as 21083231355904 + 118980844096 = 4591648^2 + 344936^2 .

It is a super-3 number, since 3×21202212200000³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21202212200003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1477349 + ... + 6677348.

It is an arithmetic number, because the mean of its divisors is an integer number (337102983273).

Almost surely, 2^{21202212200000} is an apocalyptic number.

21202212200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202212200000 is an abundant number, since it is smaller than the sum of its proper divisors (35431088989864).

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

21202212200000 is an frugal number, since it uses more digits than its factorization.

21202212200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8154747 (or 8154717 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21202212200000 its reverse (221220212), we get a palindrome (21202433420212).

The spelling of 21202212200000 in words is "twenty-one trillion, two hundred two billion, two hundred twelve million, two hundred thousand".