126247857120 has 2160 divisors, whose sum is σ = 599166336384. Its totient is φ = 24908083200.

The previous prime is 126247857119. The next prime is 126247857149. The reversal of 126247857120 is 21758742621.

126247857120 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 4 + 78 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2382035014 + ... + 2382035066.

Almost surely, 2^126247857120 is an apocalyptic number.

126247857120 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 126247857120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299583168192).

126247857120 is an abundant number, since it is smaller than the sum of its proper divisors (472918479264).

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

126247857120 is a wasteful number, since it uses less digits than its factorization.

126247857120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 126247857120 in words is "one hundred twenty-six billion, two hundred forty-seven million, eight hundred fifty-seven thousand, one hundred twenty".