201222112101120 has 576 divisors, whose sum is σ = 781062430579200. Its totient is φ = 48650303324160.

The previous prime is 201222112101089. The next prime is 201222112101121. The reversal of 201222112101120 is 21101211222102.

201222112101120 is a `hidden beast` number, since 2 + 0 + 122 + 211 + 210 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×201222112101120² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 201222112101093 and 201222112101102.

It is not an unprimeable number, because it can be changed into a prime (201222112101121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 141090151 + ... + 142509209.

It is an arithmetic number, because the mean of its divisors is an integer number (1356011164200).

Almost surely, 2^{201222112101120} is an apocalyptic number.

201222112101120 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 201222112101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390531215289600).

201222112101120 is an abundant number, since it is smaller than the sum of its proper divisors (579840318478080).

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

201222112101120 is a wasteful number, since it uses less digits than its factorization.

201222112101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419473 (or 1419453 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201222112101120 its reverse (21101211222102), we get a palindrome (222323323323222).

The spelling of 201222112101120 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred twelve million, one hundred one thousand, one hundred twenty".