6123221057600 has 42 divisors (see below), whose sum is σ = 15066950818794. Its totient is φ = 2449288422400.

The previous prime is 6123221057599. The next prime is 6123221057617. The reversal of 6123221057600 is 67501223216.

It can be written as a sum of positive squares in 3 ways, for example, as 1832524864 + 6121388532736 = 42808^2 + 2474144^2 .

It is a super-2 number, since 2×6123221057600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1913504981 + ... + 1913508180.

It is an arithmetic number, because the mean of its divisors is an integer number (358736924257).

Almost surely, 2^{6123221057600} is an apocalyptic number.

It is an amenable number.

6123221057600 is an abundant number, since it is smaller than the sum of its proper divisors (8943729761194).

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

6123221057600 is a wasteful number, since it uses less digits than its factorization.

6123221057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827013183 (or 3827013168 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 6123221057600 in words is "six trillion, one hundred twenty-three billion, two hundred twenty-one million, fifty-seven thousand, six hundred".