2211003200120 has 768 divisors, whose sum is σ = 6441507072000. Its totient is φ = 676076544000.

The previous prime is 2211003200071. The next prime is 2211003200171. The reversal of 2211003200120 is 210023001122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2211003200095 and 2211003200104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3872159435 + ... + 3872160005.

It is an arithmetic number, because the mean of its divisors is an integer number (8387379000).

Almost surely, 2^{2211003200120} is an apocalyptic number.

2211003200120 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 2211003200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220753536000).

2211003200120 is an abundant number, since it is smaller than the sum of its proper divisors (4230503871880).

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

2211003200120 is a wasteful number, since it uses less digits than its factorization.

2211003200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2211003200120 its reverse (210023001122), we get a palindrome (2421026201242).

The spelling of 2211003200120 in words is "two trillion, two hundred eleven billion, three million, two hundred thousand, one hundred twenty".