226600401120 has 96 divisors (see below), whose sum is σ = 755779012128. Its totient is φ = 56872255488.

The previous prime is 226600401109. The next prime is 226600401187. The reversal of 226600401120 is 21104006622.

226600401120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13876669 + ... + 13892988.

It is an arithmetic number, because the mean of its divisors is an integer number (7872698043).

Almost surely, 2^226600401120 is an apocalyptic number.

226600401120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226600401120 is an abundant number, since it is smaller than the sum of its proper divisors (529178611008).

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

226600401120 is a wasteful number, since it uses less digits than its factorization.

226600401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27769692 (or 27769684 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 226600401120 its reverse (21104006622), we get a palindrome (247704407742).

The spelling of 226600401120 in words is "two hundred twenty-six billion, six hundred million, four hundred one thousand, one hundred twenty".