201213222220120 has 128 divisors (see below), whose sum is σ = 496422803796480. Its totient is φ = 72793042560000.

The previous prime is 201213222220111. The next prime is 201213222220133. The reversal of 201213222220120 is 21022222312102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 201213222220091 and 201213222220100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236410044 + ... + 237259636.

It is an arithmetic number, because the mean of its divisors is an integer number (3878303154660).

Almost surely, 2^{201213222220120} is an apocalyptic number.

201213222220120 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 201213222220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248211401898240).

201213222220120 is an abundant number, since it is smaller than the sum of its proper divisors (295209581576360).

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

201213222220120 is a wasteful number, since it uses less digits than its factorization.

201213222220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852377 (or 852373 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 201213222220120 its reverse (21022222312102), we get a palindrome (222235444532222).

The spelling of 201213222220120 in words is "two hundred one trillion, two hundred thirteen billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twenty".