128412402300 has 756 divisors, whose sum is σ = 517377146160. Its totient is φ = 27075409920.

The previous prime is 128412402271. The next prime is 128412402301. The reversal of 128412402300 is 3204214821.

128412402300 is a `hidden beast` number, since 12 + 8 + 412 + 4 + 0 + 230 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-3 number, since 3×128412402300³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128412402301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 86239956 + ... + 86241444.

Almost surely, 2^128412402300 is an apocalyptic number.

128412402300 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 128412402300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258688573080).

128412402300 is an abundant number, since it is smaller than the sum of its proper divisors (388964743860).

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

128412402300 is a wasteful number, since it uses less digits than its factorization.

128412402300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 128412402300 in words is "one hundred twenty-eight billion, four hundred twelve million, four hundred two thousand, three hundred".