20211222121200 has 360 divisors, whose sum is σ = 77811657056640. Its totient is φ = 4816644057600.

The previous prime is 20211222121199. The next prime is 20211222121201. The reversal of 20211222121200 is 212122211202.

It is a happy number.

20211222121200 is a `hidden beast` number, since 20 + 211 + 2 + 221 + 212 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20211222121199) and next prime (20211222121201).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211222121201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1988892 + ... + 6661691.

It is an arithmetic number, because the mean of its divisors is an integer number (216143491824).

Almost surely, 2^{20211222121200} is an apocalyptic number.

20211222121200 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 20211222121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38905828528320).

20211222121200 is an abundant number, since it is smaller than the sum of its proper divisors (57600434935440).

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

20211222121200 is a wasteful number, since it uses less digits than its factorization.

20211222121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8650677 (or 8650663 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20211222121200 its reverse (212122211202), we get a palindrome (20423344332402).

The spelling of 20211222121200 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred".