2133000012 has 192 divisors, whose sum is σ = 6110834688. Its totient is φ = 570240000.

The previous prime is 2133000011. The next prime is 2133000017. The reversal of 2133000012 is 2100003312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2133000011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5372598 + ... + 5372994.

It is an arithmetic number, because the mean of its divisors is an integer number (31827264).

Almost surely, 2^2133000012 is an apocalyptic number.

2133000012 is a gapful number since it is divisible by the number (22) 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 2133000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055417344).

2133000012 is an abundant number, since it is smaller than the sum of its proper divisors (3977834676).

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

2133000012 is a wasteful number, since it uses less digits than its factorization.

2133000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2133000012 is about 46184.4130849359. The cubic root of 2133000012 is about 1287.2521305218.

Adding to 2133000012 its reverse (2100003312), we get a palindrome (4233003324).

It can be divided in two parts, 21 and 33000012, that added together give a palindrome (33000033).

The spelling of 2133000012 in words is "two billion, one hundred thirty-three million, twelve", and thus it is an aban number.