21312422120000 has 210 divisors, whose sum is σ = 58089005610174. Its totient is φ = 7749969920000.

The previous prime is 21312422119999. The next prime is 21312422120029. The reversal of 21312422120000 is 2122421312.

It can be written as a sum of positive squares in 5 ways, for example, as 12825967544896 + 8486454575104 = 3581336^2 + 2913152^2 .

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 29 ways as a sum of consecutive naturals, for example, 2638304 + ... + 7041696.

Almost surely, 2^{21312422120000} is an apocalyptic number.

21312422120000 is a gapful number since it is divisible by the number (20) 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 21312422120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29044502805087).

21312422120000 is an abundant number, since it is smaller than the sum of its proper divisors (36776583490174).

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

21312422120000 is an equidigital number, since it uses as much as digits as its factorization.

21312422120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403447 (or 4403411 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21312422120000 its reverse (2122421312), we get a palindrome (21314544541312).

The spelling of 21312422120000 in words is "twenty-one trillion, three hundred twelve billion, four hundred twenty-two million, one hundred twenty thousand".