20121313233312 has 192 divisors, whose sum is σ = 60332900060160. Its totient is φ = 6519378742272.

The previous prime is 20121313233227. The next prime is 20121313233319. The reversal of 20121313233312 is 21333231312102.

20121313233312 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 1 + 3 + 1 + 323 + 331 + 2 = 666.

It is a super-2 number, since 2×20121313233312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20121313233319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32072913 + ... + 32694255.

It is an arithmetic number, because the mean of its divisors is an integer number (314233854480).

Almost surely, 2^{20121313233312} 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 20121313233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30166450030080).

20121313233312 is an abundant number, since it is smaller than the sum of its proper divisors (40211586826848).

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

20121313233312 is a wasteful number, since it uses less digits than its factorization.

20121313233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622412 (or 622398 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 20121313233312 its reverse (21333231312102), we get a palindrome (41454544545414).

The spelling of 20121313233312 in words is "twenty trillion, one hundred twenty-one billion, three hundred thirteen million, two hundred thirty-three thousand, three hundred twelve".