201120122032200 has 768 divisors, whose sum is σ = 836437321728000. Its totient is φ = 43440754775040.

The previous prime is 201120122032189. The next prime is 201120122032201. The reversal of 201120122032200 is 2230221021102.

201120122032200 is a `hidden beast` number, since 2 + 0 + 1 + 120 + 1 + 220 + 322 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (201120122032201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49569589 + ... + 53473211.

It is an arithmetic number, because the mean of its divisors is an integer number (1089111096000).

Almost surely, 2^{201120122032200} is an apocalyptic number.

201120122032200 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 201120122032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418218660864000).

201120122032200 is an abundant number, since it is smaller than the sum of its proper divisors (635317199695800).

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

201120122032200 is a wasteful number, since it uses less digits than its factorization.

201120122032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903731 (or 3903716 counting only the distinct ones).

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

Adding to 201120122032200 its reverse (2230221021102), we get a palindrome (203350343053302).

The spelling of 201120122032200 in words is "two hundred one trillion, one hundred twenty billion, one hundred twenty-two million, thirty-two thousand, two hundred".