1333133312412 has 96 divisors (see below), whose sum is σ = 3432103879680. Its totient is φ = 399384760320.

The previous prime is 1333133312393. The next prime is 1333133312437. The reversal of 1333133312412 is 2142133313331.

It is a happy number.

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 1333133312412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11941789 + ... + 12052907.

It is an arithmetic number, because the mean of its divisors is an integer number (35751082080).

Almost surely, 2^{1333133312412} is an apocalyptic number.

1333133312412 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 1333133312412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716051939840).

1333133312412 is an abundant number, since it is smaller than the sum of its proper divisors (2098970567268).

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

1333133312412 is a wasteful number, since it uses less digits than its factorization.

1333133312412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112171 (or 112169 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 1333133312412 its reverse (2142133313331), we get a palindrome (3475266625743).

The spelling of 1333133312412 in words is "one trillion, three hundred thirty-three billion, one hundred thirty-three million, three hundred twelve thousand, four hundred twelve".