312103202020 has 192 divisors, whose sum is σ = 721507046400. Its totient is φ = 113119784960.

The previous prime is 312103201999. The next prime is 312103202029. The reversal of 312103202020 is 20202301213.

It is a super-2 number, since 2×312103202020² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312103201985 and 312103202003.

It is not an unprimeable number, because it can be changed into a prime (312103202029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65939574 + ... + 65944306.

It is an arithmetic number, because the mean of its divisors is an integer number (3757849200).

Almost surely, 2^312103202020 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 312103202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360753523200).

312103202020 is an abundant number, since it is smaller than the sum of its proper divisors (409403844380).

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

312103202020 is a wasteful number, since it uses less digits than its factorization.

312103202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 312103202020 its reverse (20202301213), we get a palindrome (332305503233).

The spelling of 312103202020 in words is "three hundred twelve billion, one hundred three million, two hundred two thousand, twenty".