128215120 has 80 divisors (see below), whose sum is σ = 326907648. Its totient is φ = 46379520.

The previous prime is 128215117. The next prime is 128215127. The reversal of 128215120 is 21512821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×128215120² = 32878233993228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 128215091 and 128215100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128215127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322762 + ... + 323158.

Almost surely, 2^128215120 is an apocalyptic number.

128215120 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 128215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163453824).

128215120 is an abundant number, since it is smaller than the sum of its proper divisors (198692528).

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

128215120 is a wasteful number, since it uses less digits than its factorization.

128215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 128215120 is about 11323.2115585641. The cubic root of 128215120 is about 504.2505892519.

Adding to 128215120 its reverse (21512821), we get a palindrome (149727941).

The spelling of 128215120 in words is "one hundred twenty-eight million, two hundred fifteen thousand, one hundred twenty".