345311105124000 has 192 divisors, whose sum is σ = 1136179098512640. Its totient is φ = 91680851635200.

The previous prime is 345311105123923. The next prime is 345311105124017. The reversal of 345311105124000 is 421501113543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60081532 + ... + 65577531.

It is an arithmetic number, because the mean of its divisors is an integer number (5917599471420).

Almost surely, 2^{345311105124000} is an apocalyptic number.

345311105124000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345311105124000 is an abundant number, since it is smaller than the sum of its proper divisors (790867993388640).

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

345311105124000 is a wasteful number, since it uses less digits than its factorization.

345311105124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125659320 (or 125659302 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 345311105124000 its reverse (421501113543), we get a palindrome (345732606237543).

The spelling of 345311105124000 in words is "three hundred forty-five trillion, three hundred eleven billion, one hundred five million, one hundred twenty-four thousand".