120281867725824 has 528 divisors, whose sum is σ = 420440302900800. Its totient is φ = 32332047187968.

The previous prime is 120281867725813. The next prime is 120281867725861. The reversal of 120281867725824 is 428527768182021.

120281867725824 is a `hidden beast` number, since 1 + 2 + 0 + 281 + 86 + 7 + 7 + 258 + 24 = 666.

It is a super-2 number, since 2×120281867725824² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2992885122 + ... + 2992925310.

Almost surely, 2^{120281867725824} is an apocalyptic number.

120281867725824 is a gapful number since it is divisible by the number (14) 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 120281867725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210220151450400).

120281867725824 is an abundant number, since it is smaller than the sum of its proper divisors (300158435174976).

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

120281867725824 is a wasteful number, since it uses less digits than its factorization.

120281867725824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42968 (or 42947 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 120281867725824 in words is "one hundred twenty trillion, two hundred eighty-one billion, eight hundred sixty-seven million, seven hundred twenty-five thousand, eight hundred twenty-four".