312011000110212 has 192 divisors, whose sum is σ = 845606992957440. Its totient is φ = 88712782156800.

The previous prime is 312011000110177. The next prime is 312011000110267. The reversal of 312011000110212 is 212011000110213.

It is a super-2 number, since 2×312011000110212² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312011000110191 and 312011000110200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 557637063 + ... + 558196305.

It is an arithmetic number, because the mean of its divisors is an integer number (4404203088320).

Almost surely, 2^{312011000110212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312011000110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422803496478720).

312011000110212 is an abundant number, since it is smaller than the sum of its proper divisors (533595992847228).

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

312011000110212 is a wasteful number, since it uses less digits than its factorization.

312011000110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563914 (or 563912 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 312011000110212 its reverse (212011000110213), we get a palindrome (524022000220425).

Subtracting from 312011000110212 its reverse (212011000110213), we obtain a palindrome (99999999999999).

The spelling of 312011000110212 in words is "three hundred twelve trillion, eleven billion, one hundred ten thousand, two hundred twelve".