126103985280 has 576 divisors, whose sum is σ = 545528201400. Its totient is φ = 26605780992.

The previous prime is 126103985261. The next prime is 126103985309. The reversal of 126103985280 is 82589301621.

126103985280 is a `hidden beast` number, since 1 + 2 + 610 + 3 + 9 + 8 + 5 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112783132224 + 13320853056 = 335832^2 + 115416^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3651936 + ... + 3686304.

Almost surely, 2^126103985280 is an apocalyptic number.

126103985280 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 126103985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272764100700).

126103985280 is an abundant number, since it is smaller than the sum of its proper divisors (419424216120).

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

126103985280 is a wasteful number, since it uses less digits than its factorization.

126103985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34421 (or 34399 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 126103985280 in words is "one hundred twenty-six billion, one hundred three million, nine hundred eighty-five thousand, two hundred eighty".