1233121113312 has 384 divisors, whose sum is σ = 3658366010880. Its totient is φ = 360530903040.

The previous prime is 1233121113307. The next prime is 1233121113337. The reversal of 1233121113312 is 2133111213321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 711551998 + ... + 711553730.

It is an arithmetic number, because the mean of its divisors is an integer number (9526994820).

Almost surely, 2^{1233121113312} is an apocalyptic number.

1233121113312 is a gapful number since it is divisible by the number (12) 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 1233121113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829183005440).

1233121113312 is an abundant number, since it is smaller than the sum of its proper divisors (2425244897568).

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

1233121113312 is a wasteful number, since it uses less digits than its factorization.

1233121113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2018 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 1233121113312 its reverse (2133111213321), we get a palindrome (3366232326633).

The spelling of 1233121113312 in words is "one trillion, two hundred thirty-three billion, one hundred twenty-one million, one hundred thirteen thousand, three hundred twelve".