20122331203200 has 192 divisors, whose sum is σ = 66284479084320. Its totient is φ = 5365424640000.

The previous prime is 20122331203193. The next prime is 20122331203229. The reversal of 20122331203200 is 230213322102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102304950 + ... + 102501450.

Almost surely, 2^{20122331203200} is an apocalyptic number.

20122331203200 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 20122331203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33142239542160).

20122331203200 is an abundant number, since it is smaller than the sum of its proper divisors (46162147881120).

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

20122331203200 is a wasteful number, since it uses less digits than its factorization.

20122331203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207195 (or 207178 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20122331203200 its reverse (230213322102), we get a palindrome (20352544525302).

The spelling of 20122331203200 in words is "twenty trillion, one hundred twenty-two billion, three hundred thirty-one million, two hundred three thousand, two hundred".