120218688 has 112 divisors (see below), whose sum is σ = 365760000. Its totient is φ = 38674944.

The previous prime is 120218687. The next prime is 120218699. The reversal of 120218688 is 886812021.

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

It is not an unprimeable number, because it can be changed into a prime (120218687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48913 + ... + 51311.

Almost surely, 2^120218688 is an apocalyptic number.

120218688 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 120218688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182880000).

120218688 is an abundant number, since it is smaller than the sum of its proper divisors (245541312).

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

120218688 is a wasteful number, since it uses less digits than its factorization.

120218688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 120218688 is about 10964.4283024698. The cubic root of 120218688 is about 493.5418613615.

The spelling of 120218688 in words is "one hundred twenty million, two hundred eighteen thousand, six hundred eighty-eight".