21132212000 has 96 divisors (see below), whose sum is σ = 52052822640. Its totient is φ = 8431564800.

The previous prime is 21132211987. The next prime is 21132212009. The reversal of 21132212000 is 21223112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3953391376 + 17178820624 = 62876^2 + 131068^2 .

It is not an unprimeable number, because it can be changed into a prime (21132212009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629542 + ... + 1642458.

Almost surely, 2^21132212000 is an apocalyptic number.

21132212000 is a gapful number since it is divisible by the number (20) 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 21132212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26026411320).

21132212000 is an abundant number, since it is smaller than the sum of its proper divisors (30920610640).

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

21132212000 is a wasteful number, since it uses less digits than its factorization.

21132212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13351 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21132212000 its reverse (21223112), we get a palindrome (21153435112).

It can be divided in two parts, 211322 and 12000, that added together give a palindrome (223322).

The spelling of 21132212000 in words is "twenty-one billion, one hundred thirty-two million, two hundred twelve thousand".