22112132000 has 288 divisors, whose sum is σ = 63882511056. Its totient is φ = 7499520000.

The previous prime is 22112131997. The next prime is 22112132017. The reversal of 22112132000 is 23121122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 757570576 + 21354561424 = 27524^2 + 146132^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19795442 + ... + 19796558.

Almost surely, 2^22112132000 is an apocalyptic number.

22112132000 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 22112132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31941255528).

22112132000 is an abundant number, since it is smaller than the sum of its proper divisors (41770379056).

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

22112132000 is a wasteful number, since it uses less digits than its factorization.

22112132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1232 counting only the distinct ones).

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

Adding to 22112132000 its reverse (23121122), we get a palindrome (22135253122).

The spelling of 22112132000 in words is "twenty-two billion, one hundred twelve million, one hundred thirty-two thousand".