22120121301300 has 720 divisors, whose sum is σ = 78847719172992. Its totient is φ = 5319829094400.

The previous prime is 22120121301277. The next prime is 22120121301319. The reversal of 22120121301300 is 310312102122.

22120121301300 is a `hidden beast` number, since 2 + 21 + 20 + 1 + 21 + 301 + 300 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6022356264 + ... + 6022359936.

Almost surely, 2^{22120121301300} is an apocalyptic number.

22120121301300 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 22120121301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39423859586496).

22120121301300 is an abundant number, since it is smaller than the sum of its proper divisors (56727597871692).

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

22120121301300 is a wasteful number, since it uses less digits than its factorization.

22120121301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22120121301300 its reverse (310312102122), we get a palindrome (22430433403422).

The spelling of 22120121301300 in words is "twenty-two trillion, one hundred twenty billion, one hundred twenty-one million, three hundred one thousand, three hundred".