128100000 has 288 divisors, whose sum is σ = 488218752. Its totient is φ = 28800000.

The previous prime is 128099987. The next prime is 128100023. The reversal of 128100000 is 1821.

It is a happy number.

It is a super-2 number, since 2×128100000² = 32819220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2099970 + ... + 2100030.

It is an arithmetic number, because the mean of its divisors is an integer number (1695204).

Almost surely, 2^128100000 is an apocalyptic number.

128100000 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 128100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244109376).

128100000 is an abundant number, since it is smaller than the sum of its proper divisors (360118752).

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

128100000 is an frugal number, since it uses more digits than its factorization.

128100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 128100000 is about 11318.1270535367. The cubic root of 128100000 is about 504.0996275713.

Adding to 128100000 its reverse (1821), we get a palindrome (128101821).

It can be divided in two parts, 128 and 100000, that added together give a triangular number (100128 = T₄₄₇).

The spelling of 128100000 in words is "one hundred twenty-eight million, one hundred thousand".