1312122123200 has 168 divisors, whose sum is σ = 3736584652800. Its totient is φ = 444175580160.

The previous prime is 1312122123197. The next prime is 1312122123203. The reversal of 1312122123200 is 23212212131.

It is an interprime number because it is at equal distance from previous prime (1312122123197) and next prime (1312122123203).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312122123203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143321 + ... + 1626279.

Almost surely, 2^{1312122123200} is an apocalyptic number.

1312122123200 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 1312122123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868292326400).

1312122123200 is an abundant number, since it is smaller than the sum of its proper divisors (2424462529600).

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

1312122123200 is a wasteful number, since it uses less digits than its factorization.

1312122123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483067 (or 1483052 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1312122123200 its reverse (23212212131), we get a palindrome (1335334335331).

The spelling of 1312122123200 in words is "one trillion, three hundred twelve billion, one hundred twenty-two million, one hundred twenty-three thousand, two hundred".