312001003020 has 96 divisors (see below), whose sum is σ = 999672887808. Its totient is φ = 71223823872.

The previous prime is 312001003003. The next prime is 312001003031. The reversal of 312001003020 is 20300100213.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 312001002987 and 312001003005.

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, 141417 + ... + 802496.

It is an arithmetic number, because the mean of its divisors is an integer number (10413259248).

Almost surely, 2^312001003020 is an apocalyptic number.

312001003020 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 312001003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499836443904).

312001003020 is an abundant number, since it is smaller than the sum of its proper divisors (687671884788).

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

312001003020 is a wasteful number, since it uses less digits than its factorization.

312001003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944719 (or 944717 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 312001003020 its reverse (20300100213), we get a palindrome (332301103233).

The spelling of 312001003020 in words is "three hundred twelve billion, one million, three thousand, twenty".