312225102 has 48 divisors (see below), whose sum is σ = 780006240. Its totient is φ = 88413696.

The previous prime is 312225097. The next prime is 312225113. The reversal of 312225102 is 201522213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3274 + ... + 25202.

It is an arithmetic number, because the mean of its divisors is an integer number (16250130).

Almost surely, 2^312225102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312225102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390003120).

312225102 is an abundant number, since it is smaller than the sum of its proper divisors (467781138).

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

312225102 is a wasteful number, since it uses less digits than its factorization.

312225102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22057 (or 22054 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 312225102 is about 17669.8925293846. The cubic root of 312225102 is about 678.4053623136.

Adding to 312225102 its reverse (201522213), we get a palindrome (513747315).

It can be divided in two parts, 3122 and 25102, that added together give a square (28224 = 168²).

The spelling of 312225102 in words is "three hundred twelve million, two hundred twenty-five thousand, one hundred two".