12310210212300 has 864 divisors, whose sum is σ = 52025010186240. Its totient is φ = 2351278540800.

The previous prime is 12310210212283. The next prime is 12310210212343. The reversal of 12310210212300 is 321201201321.

12310210212300 is a `hidden beast` number, since 12 + 310 + 21 + 0 + 21 + 2 + 300 = 666.

12310210212300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12310210212300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 215286514 + ... + 215343686.

It is an arithmetic number, because the mean of its divisors is an integer number (60214132160).

Almost surely, 2^{12310210212300} is an apocalyptic number.

12310210212300 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 12310210212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26012505093120).

12310210212300 is an abundant number, since it is smaller than the sum of its proper divisors (39714799973940).

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

12310210212300 is a wasteful number, since it uses less digits than its factorization.

12310210212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57463 (or 57453 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12310210212300 its reverse (321201201321), we get a palindrome (12631411413621).

It can be divided in two parts, 12310210 and 212300, that added together give a triangular number (12522510 = T₅₀₀₄).

The spelling of 12310210212300 in words is "twelve trillion, three hundred ten billion, two hundred ten million, two hundred twelve thousand, three hundred".