1312144223200 has 144 divisors (see below), whose sum is σ = 3249299687760. Its totient is φ = 517325598720.

The previous prime is 1312144223189. The next prime is 1312144223227. The reversal of 1312144223200 is 23224412131.

It is a super-3 number, since 3×1312144223200³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99799027 + ... + 99812173.

It is an arithmetic number, because the mean of its divisors is an integer number (22564581165).

Almost surely, 2^{1312144223200} is an apocalyptic number.

1312144223200 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 1312144223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624649843880).

1312144223200 is an abundant number, since it is smaller than the sum of its proper divisors (1937155464560).

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

1312144223200 is a wasteful number, since it uses less digits than its factorization.

1312144223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14949 (or 14936 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1312144223200 its reverse (23224412131), we get a palindrome (1335368635331).

The spelling of 1312144223200 in words is "one trillion, three hundred twelve billion, one hundred forty-four million, two hundred twenty-three thousand, two hundred".