312114066 has 64 divisors (see below), whose sum is σ = 709171200. Its totient is φ = 90708800.

The previous prime is 312114059. The next prime is 312114109. The reversal of 312114066 is 660411213.

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, 342151 + ... + 343061.

It is an arithmetic number, because the mean of its divisors is an integer number (11080800).

Almost surely, 2^312114066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312114066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354585600).

312114066 is an abundant number, since it is smaller than the sum of its proper divisors (397057134).

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

312114066 is a wasteful number, since it uses less digits than its factorization.

312114066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 312114066 is about 17666.7502953995. The cubic root of 312114066 is about 678.3249327895.

Adding to 312114066 its reverse (660411213), we get a palindrome (972525279).

The spelling of 312114066 in words is "three hundred twelve million, one hundred fourteen thousand, sixty-six".