21132212310 has 320 divisors, whose sum is σ = 64169107200. Its totient is φ = 4946054400.

The previous prime is 21132212291. The next prime is 21132212317. The reversal of 21132212310 is 1321223112.

21132212310 is a `hidden beast` number, since 21 + 1 + 322 + 12 + 310 = 666.

It is a super-2 number, since 2×21132212310² (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132212317) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32066761 + ... + 32067419.

It is an arithmetic number, because the mean of its divisors is an integer number (200528460).

Almost surely, 2^21132212310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21132212310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32084553600).

21132212310 is an abundant number, since it is smaller than the sum of its proper divisors (43036894890).

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

21132212310 is a wasteful number, since it uses less digits than its factorization.

21132212310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21132212310 its reverse (1321223112), we get a palindrome (22453435422).

The spelling of 21132212310 in words is "twenty-one billion, one hundred thirty-two million, two hundred twelve thousand, three hundred ten".