3412310112200 has 96 divisors (see below), whose sum is σ = 8664892911360. Its totient is φ = 1239401529600.

The previous prime is 3412310112179. The next prime is 3412310112209. The reversal of 3412310112200 is 22110132143.

3412310112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3412310112209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999962 + ... + 2797238.

It is an arithmetic number, because the mean of its divisors is an integer number (90259301160).

Almost surely, 2^{3412310112200} 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 3412310112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332446455680).

3412310112200 is an abundant number, since it is smaller than the sum of its proper divisors (5252582799160).

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

3412310112200 is a wasteful number, since it uses less digits than its factorization.

3412310112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798167 (or 1798158 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3412310112200 its reverse (22110132143), we get a palindrome (3434420244343).

The spelling of 3412310112200 in words is "three trillion, four hundred twelve billion, three hundred ten million, one hundred twelve thousand, two hundred".