32123226240 has 320 divisors, whose sum is σ = 131107584960. Its totient is φ = 7342368768.

The previous prime is 32123226229. The next prime is 32123226241. The reversal of 32123226240 is 4262232123.

It is a happy number.

32123226240 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 32 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (32123226241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 318619 + ... + 407141.

It is an arithmetic number, because the mean of its divisors is an integer number (409711203).

Almost surely, 2^32123226240 is an apocalyptic number.

32123226240 is a gapful number since it is divisible by the number (30) 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 32123226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65553792480).

32123226240 is an abundant number, since it is smaller than the sum of its proper divisors (98984358720).

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

32123226240 is an equidigital number, since it uses as much as digits as its factorization.

32123226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88561 (or 88540 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 32123226240 its reverse (4262232123), we get a palindrome (36385458363).

The spelling of 32123226240 in words is "thirty-two billion, one hundred twenty-three million, two hundred twenty-six thousand, two hundred forty".