33344121312 has 96 divisors (see below), whose sum is σ = 97412868000. Its totient is φ = 11096515584.

The previous prime is 33344121289. The next prime is 33344121313. The reversal of 33344121312 is 21312144333.

It is a happy number.

33344121312 is a `hidden beast` number, since 3 + 3 + 3 + 441 + 213 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33344121312² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33344121313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501814 + ... + 564362.

It is an arithmetic number, because the mean of its divisors is an integer number (1014717375).

Almost surely, 2^33344121312 is an apocalyptic number.

33344121312 is a gapful number since it is divisible by the number (32) 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 33344121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48706434000).

33344121312 is an abundant number, since it is smaller than the sum of its proper divisors (64068746688).

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

33344121312 is a wasteful number, since it uses less digits than its factorization.

33344121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63185 (or 63171 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 33344121312 its reverse (21312144333), we get a palindrome (54656265645).

The spelling of 33344121312 in words is "thirty-three billion, three hundred forty-four million, one hundred twenty-one thousand, three hundred twelve".