312121220203320 has 128 divisors (see below), whose sum is σ = 1075250136672000. Its totient is φ = 71683342433280.

The previous prime is 312121220203313. The next prime is 312121220203333. The reversal of 312121220203320 is 23302022121213.

It is a super-2 number, since 2×312121220203320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6222487285 + ... + 6222537444.

It is an arithmetic number, because the mean of its divisors is an integer number (8400391692750).

Almost surely, 2^{312121220203320} is an apocalyptic number.

312121220203320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312121220203320 is an abundant number, since it is smaller than the sum of its proper divisors (763128916468680).

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

312121220203320 is a wasteful number, since it uses less digits than its factorization.

312121220203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12445024773 (or 12445024769 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312121220203320 its reverse (23302022121213), we get a palindrome (335423242324533).

The spelling of 312121220203320 in words is "three hundred twelve trillion, one hundred twenty-one billion, two hundred twenty million, two hundred three thousand, three hundred twenty".