212121120301312 has 108 divisors (see below), whose sum is σ = 431631155249280. Its totient is φ = 104040648484864.

The previous prime is 212121120301297. The next prime is 212121120301333. The reversal of 212121120301312 is 213103021121212.

It is a happy number.

It is a super-3 number, since 3×212121120301312³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4520983389 + ... + 4521030307.

Almost surely, 2^{212121120301312} 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 212121120301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215815577624640).

212121120301312 is an abundant number, since it is smaller than the sum of its proper divisors (219510034947968).

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

212121120301312 is an frugal number, since it uses more digits than its factorization.

212121120301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53328 (or 53261 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 212121120301312 its reverse (213103021121212), we get a palindrome (425224141422524).

The spelling of 212121120301312 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred twenty million, three hundred one thousand, three hundred twelve".