212320311300000 has 864 divisors, whose sum is σ = 786752297630208. Its totient is φ = 54249120000000.

The previous prime is 212320311299897. The next prime is 212320311300077. The reversal of 212320311300000 is 3113023212.

212320311300000 is a `hidden beast` number, since 2 + 1 + 2 + 320 + 311 + 30 + 0 + 0 + 0 + 0 = 666.

212320311300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 2817862327 + ... + 2817937673.

It is an arithmetic number, because the mean of its divisors is an integer number (910592937072).

Almost surely, 2^{212320311300000} is an apocalyptic number.

212320311300000 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 212320311300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393376148815104).

212320311300000 is an abundant number, since it is smaller than the sum of its proper divisors (574431986330208).

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

212320311300000 is a wasteful number, since it uses less digits than its factorization.

212320311300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75520 (or 75489 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212320311300000 its reverse (3113023212), we get a palindrome (212323424323212).

The spelling of 212320311300000 in words is "two hundred twelve trillion, three hundred twenty billion, three hundred eleven million, three hundred thousand".