32312412132000 has 6144 divisors, whose sum is σ = 159013203148800. Its totient is φ = 5518098432000.

The previous prime is 32312412131999. The next prime is 32312412132001. The reversal of 32312412132000 is 23121421323.

It is an interprime number because it is at equal distance from previous prime (32312412131999) and next prime (32312412132001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (32312412132001) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 296444147946 + ... + 296444148054.

It is an arithmetic number, because the mean of its divisors is an integer number (25881055200).

Almost surely, 2^{32312412132000} is an apocalyptic number.

32312412132000 is a gapful number since it is divisible by the number (30) 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 32312412132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79506601574400).

32312412132000 is an abundant number, since it is smaller than the sum of its proper divisors (126700791016800).

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

32312412132000 is a wasteful number, since it uses less digits than its factorization.

32312412132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32312412132000 its reverse (23121421323), we get a palindrome (32335533553323).

The spelling of 32312412132000 in words is "thirty-two trillion, three hundred twelve billion, four hundred twelve million, one hundred thirty-two thousand".