10212312331200 has 336 divisors, whose sum is σ = 38318209977600. Its totient is φ = 2332602900480.

The previous prime is 10212312331163. The next prime is 10212312331213. The reversal of 10212312331200 is 213321321201.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 48042751 + ... + 48254849.

It is an arithmetic number, because the mean of its divisors is an integer number (114042291600).

Almost surely, 2^{10212312331200} is an apocalyptic number.

10212312331200 is a gapful number since it is divisible by the number (10) 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 10212312331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19159104988800).

10212312331200 is an abundant number, since it is smaller than the sum of its proper divisors (28105897646400).

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

10212312331200 is a wasteful number, since it uses less digits than its factorization.

10212312331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213564 (or 213549 counting only the distinct ones).

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

Adding to 10212312331200 its reverse (213321321201), we get a palindrome (10425633652401).

The spelling of 10212312331200 in words is "ten trillion, two hundred twelve billion, three hundred twelve million, three hundred thirty-one thousand, two hundred".