21132211320000 has 840 divisors, whose sum is σ = 82721062936512. Its totient is φ = 5113670400000.

The previous prime is 21132211319993. The next prime is 21132211320007. The reversal of 21132211320000 is 2311223112.

21132211320000 is a `hidden beast` number, since 2 + 1 + 132 + 211 + 320 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21132211319993) and next prime (21132211320007).

It is a super-2 number, since 2×21132211320000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21132211320007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2324515455 + ... + 2324524545.

Almost surely, 2^{21132211320000} is an apocalyptic number.

21132211320000 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 21132211320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41360531468256).

21132211320000 is an abundant number, since it is smaller than the sum of its proper divisors (61588851616512).

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

21132211320000 is a wasteful number, since it uses less digits than its factorization.

21132211320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9727 (or 9699 counting only the distinct ones).

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

Adding to 21132211320000 its reverse (2311223112), we get a palindrome (21134522543112).

It can be divided in two parts, 21132 and 211320000, that multiplied together give a square (4465614240000 = 2113200²).

The spelling of 21132211320000 in words is "twenty-one trillion, one hundred thirty-two billion, two hundred eleven million, three hundred twenty thousand".