312223201020 has 144 divisors (see below), whose sum is σ = 982638034560. Its totient is φ = 83218487616.

The previous prime is 312223200959. The next prime is 312223201079. The reversal of 312223201020 is 20102322213.

312223201020 is a `hidden beast` number, since 312 + 2 + 2 + 320 + 10 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312223200984 and 312223201002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10575199 + ... + 10604681.

It is an arithmetic number, because the mean of its divisors is an integer number (6823875240).

Almost surely, 2^312223201020 is an apocalyptic number.

312223201020 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 312223201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491319017280).

312223201020 is an abundant number, since it is smaller than the sum of its proper divisors (670414833540).

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

312223201020 is a wasteful number, since it uses less digits than its factorization.

312223201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31686 (or 31672 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 312223201020 its reverse (20102322213), we get a palindrome (332325523233).

The spelling of 312223201020 in words is "three hundred twelve billion, two hundred twenty-three million, two hundred one thousand, twenty".