128016000 has 384 divisors, whose sum is σ = 529551360. Its totient is φ = 29030400.

The previous prime is 128015989. The next prime is 128016011. The reversal of 128016000 is 610821.

It is an interprime number because it is at equal distance from previous prime (128015989) and next prime (128016011).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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, 1007937 + ... + 1008063.

It is an arithmetic number, because the mean of its divisors is an integer number (1379040).

Almost surely, 2^128016000 is an apocalyptic number.

128016000 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 128016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264775680).

128016000 is an abundant number, since it is smaller than the sum of its proper divisors (401535360).

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

128016000 is a wasteful number, since it uses less digits than its factorization.

128016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 128016000 is about 11314.4155836702. The cubic root of 128016000 is about 503.9894177672.

Adding to 128016000 its reverse (610821), we get a palindrome (128626821).

The spelling of 128016000 in words is "one hundred twenty-eight million, sixteen thousand".