1312123233200 has 540 divisors, whose sum is σ = 3705869550240. Its totient is φ = 445963714560.

The previous prime is 1312123233193. The next prime is 1312123233209. The reversal of 1312123233200 is 23323212131.

It is not an unprimeable number, because it can be changed into a prime (1312123233209) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 918210086 + ... + 918211514.

Almost surely, 2^{1312123233200} is an apocalyptic number.

1312123233200 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 1312123233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852934775120).

1312123233200 is an abundant number, since it is smaller than the sum of its proper divisors (2393746317040).

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

1312123233200 is a wasteful number, since it uses less digits than its factorization.

1312123233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1312123233200 its reverse (23323212131), we get a palindrome (1335446445331).

The spelling of 1312123233200 in words is "one trillion, three hundred twelve billion, one hundred twenty-three million, two hundred thirty-three thousand, two hundred".