120198407680 has 320 divisors, whose sum is σ = 320751845568. Its totient is φ = 42915594240.

The previous prime is 120198407519. The next prime is 120198407689. The reversal of 120198407680 is 86704891021.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 120198407680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120198407689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186933439 + ... + 186934081.

Almost surely, 2^120198407680 is an apocalyptic number.

120198407680 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 120198407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160375922784).

120198407680 is an abundant number, since it is smaller than the sum of its proper divisors (200553437888).

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

120198407680 is a wasteful number, since it uses less digits than its factorization.

120198407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

It can be divided in two parts, 120198 and 407680, that added together give a triangular number (527878 = T₁₀₂₇).

The spelling of 120198407680 in words is "one hundred twenty billion, one hundred ninety-eight million, four hundred seven thousand, six hundred eighty".