312000110341020 has 384 divisors, whose sum is σ = 1045699393536000. Its totient is φ = 77003945948160.

The previous prime is 312000110340979. The next prime is 312000110341021. The reversal of 312000110341020 is 20143011000213.

312000110341020 is a `hidden beast` number, since 3 + 120 + 0 + 0 + 110 + 3 + 410 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 312000110340984 and 312000110341002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312000110341021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2737050186 + ... + 2737164174.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175504000).

Almost surely, 2^{312000110341020} is an apocalyptic number.

312000110341020 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 312000110341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522849696768000).

312000110341020 is an abundant number, since it is smaller than the sum of its proper divisors (733699283194980).

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

312000110341020 is a wasteful number, since it uses less digits than its factorization.

312000110341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121170 (or 121162 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312000110341020 its reverse (20143011000213), we get a palindrome (332143121341233).

The spelling of 312000110341020 in words is "three hundred twelve trillion, one hundred ten million, three hundred forty-one thousand, twenty".