201220222011120 has 240 divisors, whose sum is σ = 727810234351200. Its totient is φ = 49526791686144.

The previous prime is 201220222011097. The next prime is 201220222011161. The reversal of 201220222011120 is 21110222022102.

It is a happy number.

201220222011120 is a `hidden beast` number, since 201 + 220 + 2 + 220 + 1 + 1 + 1 + 20 = 666.

201220222011120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 201220222011093 and 201220222011102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106544806 + ... + 108416954.

It is an arithmetic number, because the mean of its divisors is an integer number (3032542643130).

Almost surely, 2^{201220222011120} is an apocalyptic number.

201220222011120 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 201220222011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363905117175600).

201220222011120 is an abundant number, since it is smaller than the sum of its proper divisors (526590012340080).

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

201220222011120 is a wasteful number, since it uses less digits than its factorization.

201220222011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883664 (or 1883655 counting only the distinct ones).

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

Adding to 201220222011120 its reverse (21110222022102), we get a palindrome (222330444033222).

The spelling of 201220222011120 in words is "two hundred one trillion, two hundred twenty billion, two hundred twenty-two million, eleven thousand, one hundred twenty".