1233311113120 has 96 divisors (see below), whose sum is σ = 2953028561616. Its totient is φ = 486700032000.

The previous prime is 1233311113081. The next prime is 1233311113169. The reversal of 1233311113120 is 213111133321.

It can be written as a sum of positive squares in 8 ways, for example, as 525700402704 + 707610710416 = 725052^2 + 841196^2 .

It is a super-2 number, since 2×1233311113120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1233311113091 and 1233311113100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4405162 + ... + 4676758.

Almost surely, 2^{1233311113120} is an apocalyptic number.

1233311113120 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 1233311113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476514280808).

1233311113120 is an abundant number, since it is smaller than the sum of its proper divisors (1719717448496).

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

1233311113120 is a wasteful number, since it uses less digits than its factorization.

1233311113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271994 (or 271986 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1233311113120 its reverse (213111133321), we get a palindrome (1446422246441).

It can be divided in two parts, 1233311 and 113120, that added together give a palindrome (1346431).

The spelling of 1233311113120 in words is "one trillion, two hundred thirty-three billion, three hundred eleven million, one hundred thirteen thousand, one hundred twenty".