128220120 has 384 divisors, whose sum is σ = 523635840. Its totient is φ = 26542080.

The previous prime is 128220097. The next prime is 128220149. The reversal of 128220120 is 21022821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 128220093 and 128220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1756404 + ... + 1756476.

It is an arithmetic number, because the mean of its divisors is an integer number (1363635).

Almost surely, 2^128220120 is an apocalyptic number.

128220120 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 128220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261817920).

128220120 is an abundant number, since it is smaller than the sum of its proper divisors (395415720).

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

128220120 is a wasteful number, since it uses less digits than its factorization.

128220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 128220120 is about 11323.4323418299. The cubic root of 128220120 is about 504.2571439135.

Adding to 128220120 its reverse (21022821), we get a palindrome (149242941).

The spelling of 128220120 in words is "one hundred twenty-eight million, two hundred twenty thousand, one hundred twenty".