21122133012 has 36 divisors (see below), whose sum is σ = 53430080340. Its totient is φ = 7035697152.

The previous prime is 21122132981. The next prime is 21122133023. The reversal of 21122133012 is 21033122112.

It can be written as a sum of positive squares in 2 ways, for example, as 971194896 + 20150938116 = 31164^2 + 141954^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×21122133012³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157483 + ... + 258930.

Almost surely, 2^21122133012 is an apocalyptic number.

It is an amenable number.

21122133012 is an abundant number, since it is smaller than the sum of its proper divisors (32307947328).

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

21122133012 is a wasteful number, since it uses less digits than its factorization.

21122133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417832 (or 417827 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21122133012 its reverse (21033122112), we get a palindrome (42155255124).

The spelling of 21122133012 in words is "twenty-one billion, one hundred twenty-two million, one hundred thirty-three thousand, twelve".