1310111221200 has 180 divisors, whose sum is σ = 4244437752288. Its totient is φ = 345435059200.

The previous prime is 1310111221193. The next prime is 1310111221247. The reversal of 1310111221200 is 21221110131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1310111221200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9436285 + ... + 9574115.

Almost surely, 2^{1310111221200} is an apocalyptic number.

1310111221200 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 1310111221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122218876144).

1310111221200 is an abundant number, since it is smaller than the sum of its proper divisors (2934326531088).

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

1310111221200 is a wasteful number, since it uses less digits than its factorization.

1310111221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138030 (or 137930 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1310111221200 its reverse (21221110131), we get a palindrome (1331332331331).

The spelling of 1310111221200 in words is "one trillion, three hundred ten billion, one hundred eleven million, two hundred twenty-one thousand, two hundred".