132212313000 has 384 divisors, whose sum is σ = 453477024000. Its totient is φ = 34740057600.

The previous prime is 132212312993. The next prime is 132212313007. The reversal of 132212313000 is 313212231.

132212313000 is a `hidden beast` number, since 1 + 322 + 12 + 31 + 300 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132212312993) and next prime (132212313007).

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 (132212313007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 301166781 + ... + 301167219.

It is an arithmetic number, because the mean of its divisors is an integer number (1180929750).

Almost surely, 2^132212313000 is an apocalyptic number.

132212313000 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 132212313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226738512000).

132212313000 is an abundant number, since it is smaller than the sum of its proper divisors (321264711000).

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

132212313000 is a wasteful number, since it uses less digits than its factorization.

132212313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132212313000 its reverse (313212231), we get a palindrome (132525525231).

The spelling of 132212313000 in words is "one hundred thirty-two billion, two hundred twelve million, three hundred thirteen thousand".