312202014310140 has 192 divisors, whose sum is σ = 915284983624704. Its totient is φ = 79362522150912.

The previous prime is 312202014310103. The next prime is 312202014310157. The reversal of 312202014310140 is 41013410202213.

It is a super-2 number, since 2×312202014310140² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312202014310140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2930402952 + ... + 2930509488.

It is an arithmetic number, because the mean of its divisors is an integer number (4767109289712).

Almost surely, 2^{312202014310140} is an apocalyptic number.

312202014310140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312202014310140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457642491812352).

312202014310140 is an abundant number, since it is smaller than the sum of its proper divisors (603082969314564).

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

312202014310140 is a wasteful number, since it uses less digits than its factorization.

312202014310140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113796 (or 113794 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 312202014310140 its reverse (41013410202213), we get a palindrome (353215424512353).

The spelling of 312202014310140 in words is "three hundred twelve trillion, two hundred two billion, fourteen million, three hundred ten thousand, one hundred forty".