120098880 has 336 divisors, whose sum is σ = 479291904. Its totient is φ = 27279360.

The previous prime is 120098873. The next prime is 120098887. The reversal of 120098880 is 88890021.

It is an interprime number because it is at equal distance from previous prime (120098873) and next prime (120098887).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120098887) 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, 538449 + ... + 538671.

It is an arithmetic number, because the mean of its divisors is an integer number (1426464).

Almost surely, 2^120098880 is an apocalyptic number.

120098880 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 120098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239645952).

120098880 is an abundant number, since it is smaller than the sum of its proper divisors (359193024).

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

120098880 is a wasteful number, since it uses less digits than its factorization.

120098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 120098880 is about 10958.9634546338. The cubic root of 120098880 is about 493.3778549220.

The spelling of 120098880 in words is "one hundred twenty million, ninety-eight thousand, eight hundred eighty".