126082483200 has 528 divisors, whose sum is σ = 469074144000. Its totient is φ = 33182023680.

The previous prime is 126082483199. The next prime is 126082483201. The reversal of 126082483200 is 2384280621.

126082483200 is a `hidden beast` number, since 1 + 2 + 608 + 2 + 48 + 3 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126082483199) and next prime (126082483201).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126082483201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54603646 + ... + 54605954.

It is an arithmetic number, because the mean of its divisors is an integer number (888398000).

Almost surely, 2^126082483200 is an apocalyptic number.

126082483200 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 126082483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234537072000).

126082483200 is an abundant number, since it is smaller than the sum of its proper divisors (342991660800).

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

126082483200 is a wasteful number, since it uses less digits than its factorization.

126082483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 126082483200 in words is "one hundred twenty-six billion, eighty-two million, four hundred eighty-three thousand, two hundred".