345051105302120 has 480 divisors, whose sum is σ = 924846815086920. Its totient is φ = 115852673986560.

The previous prime is 345051105302017. The next prime is 345051105302243. The reversal of 345051105302120 is 21203501150543.

It can be written as a sum of positive squares in 4 ways, for example, as 222706136448964 + 122344968853156 = 14923342^2 + 11060966^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 93942580604 + ... + 93942584276.

Almost surely, 2^{345051105302120} 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 345051105302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462423407543460).

345051105302120 is an abundant number, since it is smaller than the sum of its proper divisors (579795709784800).

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

345051105302120 is an equidigital number, since it uses as much as digits as its factorization.

345051105302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 345051105302120 its reverse (21203501150543), we get a palindrome (366254606452663).

The spelling of 345051105302120 in words is "three hundred forty-five trillion, fifty-one billion, one hundred five million, three hundred two thousand, one hundred twenty".