2111133312 has 192 divisors, whose sum is σ = 6289695360. Its totient is φ = 679311360.

The previous prime is 2111133293. The next prime is 2111133331. The reversal of 2111133312 is 2133311112.

It is an interprime number because it is at equal distance from previous prime (2111133293) and next prime (2111133331).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2111133312² = 8913767722072178688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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, 4334733 + ... + 4335219.

It is an arithmetic number, because the mean of its divisors is an integer number (32758830).

Almost surely, 2^2111133312 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 2111133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144847680).

2111133312 is an abundant number, since it is smaller than the sum of its proper divisors (4178562048).

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

2111133312 is a wasteful number, since it uses less digits than its factorization.

2111133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 616 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 2111133312 is about 45947.0707662632. The cubic root of 2111133312 is about 1282.8382072596.

Adding to 2111133312 its reverse (2133311112), we get a palindrome (4244444424).

The spelling of 2111133312 in words is "two billion, one hundred eleven million, one hundred thirty-three thousand, three hundred twelve".