1332140314200 has 192 divisors, whose sum is σ = 4267342110720. Its totient is φ = 343773532800.

The previous prime is 1332140314181. The next prime is 1332140314243. The reversal of 1332140314200 is 24130412331.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17837337 + ... + 17911863.

It is an arithmetic number, because the mean of its divisors is an integer number (22225740160).

Almost surely, 2^{1332140314200} is an apocalyptic number.

1332140314200 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 1332140314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133671055360).

1332140314200 is an abundant number, since it is smaller than the sum of its proper divisors (2935201796520).

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

1332140314200 is an equidigital number, since it uses as much as digits as its factorization.

1332140314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74639 (or 74568 counting only the distinct ones).

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

Adding to 1332140314200 its reverse (24130412331), we get a palindrome (1356270726531).

The spelling of 1332140314200 in words is "one trillion, three hundred thirty-two billion, one hundred forty million, three hundred fourteen thousand, two hundred".