21142113312 has 48 divisors (see below), whose sum is σ = 55604701152. Its totient is φ = 7033827840.

The previous prime is 21142113299. The next prime is 21142113313. The reversal of 21142113312 is 21331124112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×21142113312⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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 (21142113313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161338 + ... + 261369.

It is an arithmetic number, because the mean of its divisors is an integer number (1158431274).

Almost surely, 2^21142113312 is an apocalyptic number.

It is an amenable number.

21142113312 is an abundant number, since it is smaller than the sum of its proper divisors (34462587840).

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

21142113312 is a wasteful number, since it uses less digits than its factorization.

21142113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423241 (or 423233 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 21142113312 its reverse (21331124112), we get a palindrome (42473237424).

The spelling of 21142113312 in words is "twenty-one billion, one hundred forty-two million, one hundred thirteen thousand, three hundred twelve".