1233332414112 has 144 divisors (see below), whose sum is σ = 3487585211712. Its totient is φ = 381477519360.

The previous prime is 1233332414087. The next prime is 1233332414123. The reversal of 1233332414112 is 2114142333321.

It is a super-2 number, since 2×1233332414112² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1233332414112.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1656768 + ... + 2282880.

It is an arithmetic number, because the mean of its divisors is an integer number (24219341748).

Almost surely, 2^{1233332414112} is an apocalyptic number.

1233332414112 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 1233332414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743792605856).

1233332414112 is an abundant number, since it is smaller than the sum of its proper divisors (2254252797600).

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

1233332414112 is a wasteful number, since it uses less digits than its factorization.

1233332414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626231 (or 626206 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 1233332414112 its reverse (2114142333321), we get a palindrome (3347474747433).

The spelling of 1233332414112 in words is "one trillion, two hundred thirty-three billion, three hundred thirty-two million, four hundred fourteen thousand, one hundred twelve".