126248281200 has 360 divisors, whose sum is σ = 454151932416. Its totient is φ = 32443200000.

The previous prime is 126248281199. The next prime is 126248281213. The reversal of 126248281200 is 2182842621.

126248281200 is a `hidden beast` number, since 1 + 2 + 624 + 8 + 2 + 8 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

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, 28009347 + ... + 28013853.

Almost surely, 2^126248281200 is an apocalyptic number.

126248281200 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 126248281200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227075966208).

126248281200 is an abundant number, since it is smaller than the sum of its proper divisors (327903651216).

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

126248281200 is a wasteful number, since it uses less digits than its factorization.

126248281200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 126248281200 in words is "one hundred twenty-six billion, two hundred forty-eight million, two hundred eighty-one thousand, two hundred".