120019565820672 has 432 divisors, whose sum is σ = 412313941847808. Its totient is φ = 32861863157760.

The previous prime is 120019565820653. The next prime is 120019565820673. The reversal of 120019565820672 is 276028565910021.

120019565820672 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 9 + 56 + 582 + 0 + 6 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (120019565820673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35123047 + ... + 38388377.

It is an arithmetic number, because the mean of its divisors is an integer number (954430420944).

Almost surely, 2^{120019565820672} is an apocalyptic number.

120019565820672 is a gapful number since it is divisible by the number (12) 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 120019565820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206156970923904).

120019565820672 is an abundant number, since it is smaller than the sum of its proper divisors (292294376027136).

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

120019565820672 is a wasteful number, since it uses less digits than its factorization.

120019565820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265456 (or 3265439 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 120019565820672 in words is "one hundred twenty trillion, nineteen billion, five hundred sixty-five million, eight hundred twenty thousand, six hundred seventy-two".