126066124800 has 2592 divisors, whose sum is σ = 632125166400. Its totient is φ = 23357030400.

The previous prime is 126066124747. The next prime is 126066124823. The reversal of 126066124800 is 8421660621.

126066124800 is a `hidden beast` number, since 1 + 2 + 606 + 6 + 1 + 2 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6635059191 + ... + 6635059209.

It is an arithmetic number, because the mean of its divisors is an integer number (243875450).

Almost surely, 2^126066124800 is an apocalyptic number.

126066124800 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 126066124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316062583200).

126066124800 is an abundant number, since it is smaller than the sum of its proper divisors (506059041600).

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

126066124800 is a wasteful number, since it uses less digits than its factorization.

126066124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 126066124800 in words is "one hundred twenty-six billion, sixty-six million, one hundred twenty-four thousand, eight hundred".