126099330900 has 144 divisors (see below), whose sum is σ = 387999541440. Its totient is φ = 31509964800.

The previous prime is 126099330893. The next prime is 126099330919. The reversal of 126099330900 is 9033990621.

It is a happy number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1113915 + ... + 1221885.

It is an arithmetic number, because the mean of its divisors is an integer number (2694441260).

Almost surely, 2^126099330900 is an apocalyptic number.

126099330900 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 126099330900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193999770720).

126099330900 is an abundant number, since it is smaller than the sum of its proper divisors (261900210540).

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

126099330900 is a wasteful number, since it uses less digits than its factorization.

126099330900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108234 (or 108227 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The spelling of 126099330900 in words is "one hundred twenty-six billion, ninety-nine million, three hundred thirty thousand, nine hundred".