312233222210130 has 256 divisors, whose sum is σ = 899117092823040. Its totient is φ = 76647924815616.

The previous prime is 312233222210101. The next prime is 312233222210167. The reversal of 312233222210130 is 31012222332213.

312233222210130 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 332 + 222 + 101 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 312233222210094 and 312233222210103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1895882769 + ... + 1896047451.

It is an arithmetic number, because the mean of its divisors is an integer number (3512176143840).

Almost surely, 2^{312233222210130} is an apocalyptic number.

312233222210130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312233222210130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449558546411520).

312233222210130 is an abundant number, since it is smaller than the sum of its proper divisors (586883870612910).

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

312233222210130 is a wasteful number, since it uses less digits than its factorization.

312233222210130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166182 (or 166176 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 312233222210130 its reverse (31012222332213), we get a palindrome (343245444542343).

The spelling of 312233222210130 in words is "three hundred twelve trillion, two hundred thirty-three billion, two hundred twenty-two million, two hundred ten thousand, one hundred thirty".