124942003200 has 2112 divisors, whose sum is σ = 584819712000. Its totient is φ = 26011238400.

The previous prime is 124942003187. The next prime is 124942003201. The reversal of 124942003200 is 2300249421.

It is a super-2 number, since 2×124942003200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (124942003201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 4030387185 + ... + 4030387215.

Almost surely, 2^124942003200 is an apocalyptic number.

124942003200 is a gapful number since it is divisible by the number (10) 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 124942003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292409856000).

124942003200 is an abundant number, since it is smaller than the sum of its proper divisors (459877708800).

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

124942003200 is a wasteful number, since it uses less digits than its factorization.

124942003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 124942003200 in words is "one hundred twenty-four billion, nine hundred forty-two million, three thousand, two hundred".