12214132000 has 288 divisors, whose sum is σ = 35312515056. Its totient is φ = 4139520000.

The previous prime is 12214131971. The next prime is 12214132057. The reversal of 12214132000 is 23141221.

It can be written as a sum of positive squares in 8 ways, for example, as 332259984 + 11881872016 = 18228^2 + 109004^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19795692 + ... + 19796308.

Almost surely, 2^12214132000 is an apocalyptic number.

12214132000 is a gapful number since it is divisible by the number (10) 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 12214132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17656257528).

12214132000 is an abundant number, since it is smaller than the sum of its proper divisors (23098383056).

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

12214132000 is a wasteful number, since it uses less digits than its factorization.

12214132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12214132000 its reverse (23141221), we get a palindrome (12237273221).

The spelling of 12214132000 in words is "twelve billion, two hundred fourteen million, one hundred thirty-two thousand".