345050120000 has 140 divisors (see below), whose sum is σ = 885118999380. Its totient is φ = 133260288000.

The previous prime is 345050119987. The next prime is 345050120017. The reversal of 345050120000 is 21050543.

It can be written as a sum of positive squares in 10 ways, for example, as 155463026944 + 189587093056 = 394288^2 + 435416^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1011272 + ... + 1308728.

It is an arithmetic number, because the mean of its divisors is an integer number (6322278567).

Almost surely, 2^345050120000 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 345050120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442559499690).

345050120000 is an abundant number, since it is smaller than the sum of its proper divisors (540068879380).

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

345050120000 is an equidigital number, since it uses as much as digits as its factorization.

345050120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297518 (or 297493 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 345050120000 its reverse (21050543), we get a palindrome (345071170543).

The spelling of 345050120000 in words is "three hundred forty-five billion, fifty million, one hundred twenty thousand".