126106456200 has 576 divisors, whose sum is σ = 434587006080. Its totient is φ = 30169497600.

The previous prime is 126106456159. The next prime is 126106456211. The reversal of 126106456200 is 2654601621.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 490686472 + ... + 490686728.

It is an arithmetic number, because the mean of its divisors is an integer number (754491330).

Almost surely, 2^126106456200 is an apocalyptic number.

126106456200 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 126106456200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217293503040).

126106456200 is an abundant number, since it is smaller than the sum of its proper divisors (308480549880).

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

126106456200 is a wasteful number, since it uses less digits than its factorization.

126106456200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 126106456200 in words is "one hundred twenty-six billion, one hundred six million, four hundred fifty-six thousand, two hundred".