1311201121120 has 96 divisors (see below), whose sum is σ = 3381357643776. Its totient is φ = 476513318400.

The previous prime is 1311201121103. The next prime is 1311201121123. The reversal of 1311201121120 is 211211021131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1311201121094 and 1311201121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311201121123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2710465 + ... + 3157375.

It is an arithmetic number, because the mean of its divisors is an integer number (35222475456).

Almost surely, 2^{1311201121120} is an apocalyptic number.

1311201121120 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 1311201121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690678821888).

1311201121120 is an abundant number, since it is smaller than the sum of its proper divisors (2070156522656).

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

1311201121120 is a wasteful number, since it uses less digits than its factorization.

1311201121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448604 (or 448596 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1311201121120 its reverse (211211021131), we get a palindrome (1522412142251).

It can be divided in two parts, 13112011 and 21120, that added together give a palindrome (13133131).

The spelling of 1311201121120 in words is "one trillion, three hundred eleven billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty".