312000002000 has 160 divisors (see below), whose sum is σ = 780653427840. Its totient is φ = 120525081600.

The previous prime is 312000001997. The next prime is 312000002033. The reversal of 312000002000 is 200000213.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7633619 + ... + 7674381.

It is an arithmetic number, because the mean of its divisors is an integer number (4879083924).

Almost surely, 2^312000002000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312000002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390326713920).

312000002000 is an abundant number, since it is smaller than the sum of its proper divisors (468653425840).

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

312000002000 is a wasteful number, since it uses less digits than its factorization.

312000002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40918 (or 40902 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 312000002000 its reverse (200000213), we get a palindrome (312200002213).

The spelling of 312000002000 in words is "three hundred twelve billion, two thousand".