312210420 has 48 divisors (see below), whose sum is σ = 875992320. Its totient is φ = 83084416.

The previous prime is 312210377. The next prime is 312210427. The reversal of 312210420 is 24012213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312210420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312210427) 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, 25429 + ... + 35651.

It is an arithmetic number, because the mean of its divisors is an integer number (18249840).

Almost surely, 2^312210420 is an apocalyptic number.

312210420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312210420 is an abundant number, since it is smaller than the sum of its proper divisors (563781900).

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

312210420 is a wasteful number, since it uses less digits than its factorization.

312210420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10744 (or 10742 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 312210420 is about 17669.4770720585. The cubic root of 312210420 is about 678.3947284220.

Adding to 312210420 its reverse (24012213), we get a palindrome (336222633).

The spelling of 312210420 in words is "three hundred twelve million, two hundred ten thousand, four hundred twenty".