21133242312 has 128 divisors (see below), whose sum is σ = 65299046400. Its totient is φ = 5550144768.

The previous prime is 21133242311. The next prime is 21133242353. The reversal of 21133242312 is 21324233112.

It is a super-2 number, since 2×21133242312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (21133242311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501733 + ... + 542219.

It is an arithmetic number, because the mean of its divisors is an integer number (510148800).

Almost surely, 2^21133242312 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 21133242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32649523200).

21133242312 is an abundant number, since it is smaller than the sum of its proper divisors (44165804088).

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

21133242312 is a wasteful number, since it uses less digits than its factorization.

21133242312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40755 (or 40751 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 21133242312 its reverse (21324233112), we get a palindrome (42457475424).

The spelling of 21133242312 in words is "twenty-one billion, one hundred thirty-three million, two hundred forty-two thousand, three hundred twelve".