120630863808 has 672 divisors, whose sum is σ = 455771097600. Its totient is φ = 29614989312.

The previous prime is 120630863729. The next prime is 120630863809. The reversal of 120630863808 is 808368036021.

120630863808 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 3 + 0 + 8 + 638 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120630863809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58757310 + ... + 58759362.

It is an arithmetic number, because the mean of its divisors is an integer number (678230800).

Almost surely, 2^120630863808 is an apocalyptic number.

120630863808 is a gapful number since it is divisible by the number (18) 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 120630863808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227885548800).

120630863808 is an abundant number, since it is smaller than the sum of its proper divisors (335140233792).

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

120630863808 is a wasteful number, since it uses less digits than its factorization.

120630863808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

Adding to 120630863808 its reverse (808368036021), we get a palindrome (928998899829).

The spelling of 120630863808 in words is "one hundred twenty billion, six hundred thirty million, eight hundred sixty-three thousand, eight hundred eight".