312121020 has 96 divisors (see below), whose sum is σ = 955293696. Its totient is φ = 75801600.

The previous prime is 312121013. The next prime is 312121049. The reversal of 312121020 is 20121213.

It is a super-2 number, since 2×312121020² = 194839062251680800, which contains 22 as substring.

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 = 312120987 and 312121005.

It is a congruent number.

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, 26685 + ... + 36555.

It is an arithmetic number, because the mean of its divisors is an integer number (9950976).

Almost surely, 2^312121020 is an apocalyptic number.

312121020 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 312121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477646848).

312121020 is an abundant number, since it is smaller than the sum of its proper divisors (643172676).

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

312121020 is a wasteful number, since it uses less digits than its factorization.

312121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9931 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 312121020 is about 17666.9471046924. The cubic root of 312121020 is about 678.3299705167.

Adding to 312121020 its reverse (20121213), we get a palindrome (332242233).

The spelling of 312121020 in words is "three hundred twelve million, one hundred twenty-one thousand, twenty".