21312231301200 has 480 divisors, whose sum is σ = 78430914385920. Its totient is φ = 4845970483200.

The previous prime is 21312231301189. The next prime is 21312231301247. The reversal of 21312231301200 is 210313221312.

21312231301200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21312231301200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1269559207 + ... + 1269575993.

It is an arithmetic number, because the mean of its divisors is an integer number (163397738304).

Almost surely, 2^{21312231301200} is an apocalyptic number.

21312231301200 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 21312231301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39215457192960).

21312231301200 is an abundant number, since it is smaller than the sum of its proper divisors (57118683084720).

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

21312231301200 is a wasteful number, since it uses less digits than its factorization.

21312231301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17595 (or 17584 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21312231301200 its reverse (210313221312), we get a palindrome (21522544522512).

The spelling of 21312231301200 in words is "twenty-one trillion, three hundred twelve billion, two hundred thirty-one million, three hundred one thousand, two hundred".