312111020 has 48 divisors (see below), whose sum is σ = 720897408. Its totient is φ = 112784640.

The previous prime is 312110993. The next prime is 312111029. The reversal of 312111020 is 20111213.

It is a junction number, because it is equal to n+sod(n) for n = 312110992 and 312111010.

It is not an unprimeable number, because it can be changed into a prime (312111029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551 + ... + 24990.

It is an arithmetic number, because the mean of its divisors is an integer number (15018696).

Almost surely, 2^312111020 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 312111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360448704).

312111020 is an abundant number, since it is smaller than the sum of its proper divisors (408786388).

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

312111020 is a wasteful number, since it uses less digits than its factorization.

312111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25610 (or 25608 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 312111020 is about 17666.6640880501. The cubic root of 312111020 is about 678.3227261343.

Adding to 312111020 its reverse (20111213), we get a palindrome (332222233).

It can be divided in two parts, 3121 and 11020, that added together give a palindrome (14141).

The spelling of 312111020 in words is "three hundred twelve million, one hundred eleven thousand, twenty".