1213311120 has 160 divisors (see below), whose sum is σ = 4524948480. Its totient is φ = 262725120.

The previous prime is 1213311103. The next prime is 1213311149. The reversal of 1213311120 is 211133121.

It is a happy number.

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 1213311120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12915 + ... + 50925.

It is an arithmetic number, because the mean of its divisors is an integer number (28280928).

Almost surely, 2^1213311120 is an apocalyptic number.

1213311120 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 1213311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262474240).

1213311120 is an abundant number, since it is smaller than the sum of its proper divisors (3311637360).

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

1213311120 is a wasteful number, since it uses less digits than its factorization.

1213311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38053 (or 38047 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1213311120 is about 34832.6157501845. The cubic root of 1213311120 is about 1066.5733451342.

Adding to 1213311120 its reverse (211133121), we get a palindrome (1424444241).

The spelling of 1213311120 in words is "one billion, two hundred thirteen million, three hundred eleven thousand, one hundred twenty".