2133322233312 has 96 divisors (see below), whose sum is σ = 5934820679424. Its totient is φ = 668663552000.

The previous prime is 2133322233307. The next prime is 2133322233359.

2133322233312 is nontrivially palindromic in base 10.

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

It is a super-2 number, since 2×2133322233312² (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 2133322233312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1181437 + ... + 2379587.

It is an arithmetic number, because the mean of its divisors is an integer number (61821048744).

Almost surely, 2^{2133322233312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133322233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967410339712).

2133322233312 is an abundant number, since it is smaller than the sum of its proper divisors (3801498446112).

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

2133322233312 is a wasteful number, since it uses less digits than its factorization.

2133322233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199272 (or 1199264 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

The spelling of 2133322233312 in words is "two trillion, one hundred thirty-three billion, three hundred twenty-two million, two hundred thirty-three thousand, three hundred twelve".