126248443020 has 768 divisors, whose sum is σ = 488433254400. Its totient is φ = 26440888320.

The previous prime is 126248443007. The next prime is 126248443033. The reversal of 126248443020 is 20344842621.

126248443020 is a `hidden beast` number, since 1 + 2 + 624 + 8 + 4 + 4 + 3 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (126248443007) and next prime (126248443033).

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 255 ways as a sum of consecutive naturals, for example, 374624292 + ... + 374624628.

It is an arithmetic number, because the mean of its divisors is an integer number (635980800).

Almost surely, 2^126248443020 is an apocalyptic number.

126248443020 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 126248443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244216627200).

126248443020 is an abundant number, since it is smaller than the sum of its proper divisors (362184811380).

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

126248443020 is a wasteful number, since it uses less digits than its factorization.

126248443020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 126248443020 in words is "one hundred twenty-six billion, two hundred forty-eight million, four hundred forty-three thousand, twenty".