21221300312212 has 192 divisors, whose sum is σ = 52601922293760. Its totient is φ = 7214516812800.

The previous prime is 21221300312209. The next prime is 21221300312237.

21221300312212 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×21221300312212³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34461537 + ... + 35071927.

It is an arithmetic number, because the mean of its divisors is an integer number (273968345280).

Almost surely, 2^{21221300312212} is an apocalyptic number.

21221300312212 is a gapful number since it is divisible by the number (22) 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 21221300312212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26300961146880).

21221300312212 is an abundant number, since it is smaller than the sum of its proper divisors (31380621981548).

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

21221300312212 is a wasteful number, since it uses less digits than its factorization.

21221300312212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610902 (or 610900 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Multiplying 21221300312212 by its sum of digits (22), we get a palindrome (466868606868664).

It can be divided in two parts, 21221300 and 312212, that added together give a palindrome (21533512).

The spelling of 21221300312212 in words is "twenty-one trillion, two hundred twenty-one billion, three hundred million, three hundred twelve thousand, two hundred twelve".