12132322000 has 160 divisors (see below), whose sum is σ = 31378018464. Its totient is φ = 4520960000.

The previous prime is 12132321979. The next prime is 12132322001. The reversal of 12132322000 is 22323121.

It can be written as a sum of positive squares in 16 ways, for example, as 1713628816 + 10418693184 = 41396^2 + 102072^2 .

It is a super-2 number, since 2×12132322000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132322001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3432234 + ... + 3435766.

Almost surely, 2^12132322000 is an apocalyptic number.

12132322000 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 12132322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15689009232).

12132322000 is an abundant number, since it is smaller than the sum of its proper divisors (19245696464).

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

12132322000 is a wasteful number, since it uses less digits than its factorization.

12132322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12132322000 its reverse (22323121), we get a palindrome (12154645121).

The spelling of 12132322000 in words is "twelve billion, one hundred thirty-two million, three hundred twenty-two thousand".