20122211302200 has 576 divisors, whose sum is σ = 77731298211840. Its totient is φ = 4569649136640.

The previous prime is 20122211302189. The next prime is 20122211302201. The reversal of 20122211302200 is 220311222102.

20122211302200 is a `hidden beast` number, since 20 + 122 + 21 + 1 + 302 + 200 = 666.

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 (20122211302201) 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 143 ways as a sum of consecutive naturals, for example, 1469518554 + ... + 1469532246.

Almost surely, 2^{20122211302200} is an apocalyptic number.

20122211302200 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 20122211302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38865649105920).

20122211302200 is an abundant number, since it is smaller than the sum of its proper divisors (57609086909640).

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

20122211302200 is a wasteful number, since it uses less digits than its factorization.

20122211302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14468 (or 14456 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20122211302200 its reverse (220311222102), we get a palindrome (20342522524302).

The spelling of 20122211302200 in words is "twenty trillion, one hundred twenty-two billion, two hundred eleven million, three hundred two thousand, two hundred".