12132841400 has 96 divisors (see below), whose sum is σ = 29728566000. Its totient is φ = 4592286720.

The previous prime is 12132841397. The next prime is 12132841403. The reversal of 12132841400 is 414823121.

It is an interprime number because it is at equal distance from previous prime (12132841397) and next prime (12132841403).

It is a self number, because there is not a number n which added to its sum of digits gives 12132841400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132841403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4896962 + ... + 4899438.

Almost surely, 2^12132841400 is an apocalyptic number.

12132841400 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 12132841400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864283000).

12132841400 is an abundant number, since it is smaller than the sum of its proper divisors (17595724600).

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

12132841400 is a wasteful number, since it uses less digits than its factorization.

12132841400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 12132841400 in words is "twelve billion, one hundred thirty-two million, eight hundred forty-one thousand, four hundred".