1213031123200 has 216 divisors, whose sum is σ = 3235632095528. Its totient is φ = 447579095040.

The previous prime is 1213031123177. The next prime is 1213031123221. The reversal of 1213031123200 is 23211303121.

It can be written as a sum of positive squares in 12 ways, for example, as 516834463744 + 696196659456 = 718912^2 + 834384^2 .

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, 145845442 + ... + 145853758.

Almost surely, 2^{1213031123200} is an apocalyptic number.

1213031123200 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 1213031123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617816047764).

1213031123200 is an abundant number, since it is smaller than the sum of its proper divisors (2022600972328).

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

1213031123200 is a wasteful number, since it uses less digits than its factorization.

1213031123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10109 (or 10090 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1213031123200 its reverse (23211303121), we get a palindrome (1236242426321).

The spelling of 1213031123200 in words is "one trillion, two hundred thirteen billion, thirty-one million, one hundred twenty-three thousand, two hundred".