21223212311232 has 224 divisors, whose sum is σ = 64087568893440. Its totient is φ = 6882239831040.

The previous prime is 21223212311227. The next prime is 21223212311243. The reversal of 21223212311232 is 23211321232212.

21223212311232 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 321 + 2 + 311 + 23 + 2 = 666.

It is a super-3 number, since 3×21223212311232³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21223212311196 and 21223212311205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563065507 + ... + 563103197.

Almost surely, 2^{21223212311232} 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 21223212311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32043784446720).

21223212311232 is an abundant number, since it is smaller than the sum of its proper divisors (42864356582208).

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

21223212311232 is a wasteful number, since it uses less digits than its factorization.

21223212311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46556 (or 46540 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 21223212311232 its reverse (23211321232212), we get a palindrome (44434533543444).

The spelling of 21223212311232 in words is "twenty-one trillion, two hundred twenty-three billion, two hundred twelve million, three hundred eleven thousand, two hundred thirty-two".