126123238800 has 1440 divisors, whose sum is σ = 528064118400. Its totient is φ = 27590492160.

The previous prime is 126123238789. The next prime is 126123238861. The reversal of 126123238800 is 8832321621.

126123238800 is a `hidden beast` number, since 1 + 2 + 612 + 3 + 2 + 38 + 8 + 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 287 ways as a sum of consecutive naturals, for example, 1727715564 + ... + 1727715636.

Almost surely, 2^126123238800 is an apocalyptic number.

126123238800 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 126123238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264032059200).

126123238800 is an abundant number, since it is smaller than the sum of its proper divisors (401940879600).

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

126123238800 is a wasteful number, since it uses less digits than its factorization.

126123238800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

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

The spelling of 126123238800 in words is "one hundred twenty-six billion, one hundred twenty-three million, two hundred thirty-eight thousand, eight hundred".