312022101000000 has 392 divisors, whose sum is σ = 1032190797163680. Its totient is φ = 83185260800000.

The previous prime is 312022100999969. The next prime is 312022101000007. The reversal of 312022101000000 is 101220213.

It is a super-3 number, since 3×312022101000000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 312022101000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312022101000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15008989606 + ... + 15009010394.

Almost surely, 2^{312022101000000} is an apocalyptic number.

312022101000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312022101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516095398581840).

312022101000000 is an abundant number, since it is smaller than the sum of its proper divisors (720168696163680).

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

312022101000000 is an frugal number, since it uses more digits than its factorization.

312022101000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25837 (or 25802 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 312022101000000 its reverse (101220213), we get a palindrome (312022202220213).

The spelling of 312022101000000 in words is "three hundred twelve trillion, twenty-two billion, one hundred one million", and thus it is an aban number.