32122233000000 has 1764 divisors, whose sum is σ = 136294109709940. Its totient is φ = 7185024000000.

The previous prime is 32122232999977. The next prime is 32122233000007. The reversal of 32122233000000 is 33222123.

It is a happy number.

32122233000000 is a `hidden beast` number, since 321 + 22 + 23 + 300 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 12112571617344 + 20009661382656 = 3480312^2 + 4473216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (32122233000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 14156998866 + ... + 14157001134.

Almost surely, 2^{32122233000000} is an apocalyptic number.

32122233000000 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 32122233000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68147054854970).

32122233000000 is an abundant number, since it is smaller than the sum of its proper divisors (104171876709940).

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

32122233000000 is a wasteful number, since it uses less digits than its factorization.

32122233000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 32122233000000 its reverse (33222123), we get a palindrome (32122266222123).

The spelling of 32122233000000 in words is "thirty-two trillion, one hundred twenty-two billion, two hundred thirty-three million", and thus it is an aban number.