128243697120 has 1344 divisors, whose sum is σ = 575903623680. Its totient is φ = 26202009600.

The previous prime is 128243697119. The next prime is 128243697121. The reversal of 128243697120 is 21796342821.

128243697120 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 436 + 97 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (128243697119) and next prime (128243697121).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128243697121) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 978959455 + ... + 978959585.

It is an arithmetic number, because the mean of its divisors is an integer number (428499720).

Almost surely, 2^128243697120 is an apocalyptic number.

128243697120 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 128243697120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287951811840).

128243697120 is an abundant number, since it is smaller than the sum of its proper divisors (447659926560).

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

128243697120 is a wasteful number, since it uses less digits than its factorization.

128243697120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 128243697120 in words is "one hundred twenty-eight billion, two hundred forty-three million, six hundred ninety-seven thousand, one hundred twenty".