22121012332300 has 144 divisors (see below), whose sum is σ = 57100017864960. Its totient is φ = 7277891523840.

The previous prime is 22121012332267. The next prime is 22121012332403. The reversal of 22121012332300 is 323321012122.

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 47 ways as a sum of consecutive naturals, for example, 33754 + ... + 6651553.

It is an arithmetic number, because the mean of its divisors is an integer number (396527901840).

Almost surely, 2^{22121012332300} is an apocalyptic number.

22121012332300 is a gapful number since it is divisible by the number (20) 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 22121012332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28550008932480).

22121012332300 is an abundant number, since it is smaller than the sum of its proper divisors (34979005532660).

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

22121012332300 is a wasteful number, since it uses less digits than its factorization.

22121012332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685520 (or 6685513 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 22121012332300 its reverse (323321012122), we get a palindrome (22444333344422).

The spelling of 22121012332300 in words is "twenty-two trillion, one hundred twenty-one billion, twelve million, three hundred thirty-two thousand, three hundred".