32122133220000 has 240 divisors, whose sum is σ = 105378839752032. Its totient is φ = 8564941440000.

The previous prime is 32122133219959. The next prime is 32122133220007. The reversal of 32122133220000 is 2233122123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (32122133220007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 653435422 + ... + 653484578.

Almost surely, 2^{32122133220000} is an apocalyptic number.

32122133220000 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 32122133220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52689419876016).

32122133220000 is an abundant number, since it is smaller than the sum of its proper divisors (73256706532032).

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

32122133220000 is a wasteful number, since it uses less digits than its factorization.

32122133220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60081 (or 60058 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 32122133220000 its reverse (2233122123), we get a palindrome (32124366342123).

The spelling of 32122133220000 in words is "thirty-two trillion, one hundred twenty-two billion, one hundred thirty-three million, two hundred twenty thousand".