21214042011200 has 84 divisors (see below), whose sum is σ = 52238161491972. Its totient is φ = 8479381094400.

The previous prime is 21214042011199. The next prime is 21214042011229. The reversal of 21214042011200 is 211024041212.

It can be written as a sum of positive squares in 6 ways, for example, as 73762214464 + 21140279796736 = 271592^2 + 4597856^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2693369 + ... + 7048568.

Almost surely, 2^{21214042011200} is an apocalyptic number.

21214042011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21214042011200 is an abundant number, since it is smaller than the sum of its proper divisors (31024119480772).

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

21214042011200 is a wasteful number, since it uses less digits than its factorization.

21214042011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9743320 (or 9743305 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21214042011200 its reverse (211024041212), we get a palindrome (21425066052412).

The spelling of 21214042011200 in words is "twenty-one trillion, two hundred fourteen billion, forty-two million, eleven thousand, two hundred".