312222221310000 has 200 divisors, whose sum is σ = 1060942065113920. Its totient is φ = 78877192608000.

The previous prime is 312222221309953. The next prime is 312222221310007. The reversal of 312222221310000 is 13122222213.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×312222221310000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312222221310007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273309142 + ... + 274449141.

Almost surely, 2^{312222221310000} is an apocalyptic number.

312222221310000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312222221310000 is an abundant number, since it is smaller than the sum of its proper divisors (748719843803920).

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

312222221310000 is a wasteful number, since it uses less digits than its factorization.

312222221310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547758333 (or 547758312 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 312222221310000 its reverse (13122222213), we get a palindrome (312235343532213).

The spelling of 312222221310000 in words is "three hundred twelve trillion, two hundred twenty-two billion, two hundred twenty-one million, three hundred ten thousand".