128264181841272 has 128 divisors (see below), whose sum is σ = 339897287396160. Its totient is φ = 40195373137920.

The previous prime is 128264181841261. The next prime is 128264181841331. The reversal of 128264181841272 is 272148181462821.

It is a happy number.

It is a super-3 number, since 3×128264181841272³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6018108888 + ... + 6018130200.

Almost surely, 2^{128264181841272} is an apocalyptic number.

128264181841272 is a gapful number since it is divisible by the number (12) 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 128264181841272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169948643698080).

128264181841272 is an abundant number, since it is smaller than the sum of its proper divisors (211633105554888).

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

128264181841272 is a wasteful number, since it uses less digits than its factorization.

128264181841272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36913 (or 36909 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 57.

The spelling of 128264181841272 in words is "one hundred twenty-eight trillion, two hundred sixty-four billion, one hundred eighty-one million, eight hundred forty-one thousand, two hundred seventy-two".