32001122222300 has 1152 divisors, whose sum is σ = 94404965695488. Its totient is φ = 9123738624000.

The previous prime is 32001122222269. The next prime is 32001122222309. The reversal of 32001122222300 is 322222110023.

It is a happy number.

32001122222300 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32001122222309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 102240006944 + ... + 102240007256.

It is an arithmetic number, because the mean of its divisors is an integer number (81948754944).

Almost surely, 2^{32001122222300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32001122222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47202482847744).

32001122222300 is an abundant number, since it is smaller than the sum of its proper divisors (62403843473188).

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

32001122222300 is a wasteful number, since it uses less digits than its factorization.

32001122222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 32001122222300 its reverse (322222110023), we get a palindrome (32323344332323).

It can be divided in two parts, 3200112 and 2222300, that multiplied together give a square (7111608897600 = 2666760²).

The spelling of 32001122222300 in words is "thirty-two trillion, one billion, one hundred twenty-two million, two hundred twenty-two thousand, three hundred".