6042355123200 has 792 divisors, whose sum is σ = 22487627678880. Its totient is φ = 1428996096000.

The previous prime is 6042355123171. The next prime is 6042355123229. The reversal of 6042355123200 is 23215532406.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6042355123171) and next prime (6042355123229).

It is a super-2 number, since 2×6042355123200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 71 ways as a sum of consecutive naturals, for example, 380996871 + ... + 381012729.

Almost surely, 2^{6042355123200} is an apocalyptic number.

6042355123200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6042355123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11243813839440).

6042355123200 is an abundant number, since it is smaller than the sum of its proper divisors (16445272555680).

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

6042355123200 is a wasteful number, since it uses less digits than its factorization.

6042355123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15955 (or 15921 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 6042355123200 in words is "six trillion, forty-two billion, three hundred fifty-five million, one hundred twenty-three thousand, two hundred".