312202030201020 has 144 divisors (see below), whose sum is σ = 960036894022752. Its totient is φ = 82109023488000.

The previous prime is 312202030200989. The next prime is 312202030201049. The reversal of 312202030201020 is 20102030202213.

312202030201020 is a `hidden beast` number, since 312 + 2 + 0 + 20 + 302 + 0 + 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 = 312202030200984 and 312202030201002.

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, 249047919 + ... + 250298361.

It is an arithmetic number, because the mean of its divisors is an integer number (6666922875158).

Almost surely, 2^{312202030201020} is an apocalyptic number.

312202030201020 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 312202030201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480018447011376).

312202030201020 is an abundant number, since it is smaller than the sum of its proper divisors (647834863821732).

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

312202030201020 is a wasteful number, since it uses less digits than its factorization.

312202030201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269532 (or 1269527 counting only the distinct ones).

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

Adding to 312202030201020 its reverse (20102030202213), we get a palindrome (332304060403233).

The spelling of 312202030201020 in words is "three hundred twelve trillion, two hundred two billion, thirty million, two hundred one thousand, twenty".