2211011113120 has 96 divisors (see below), whose sum is σ = 5352100862976. Its totient is φ = 862642636800.

The previous prime is 2211011113117. The next prime is 2211011113133. The reversal of 2211011113120 is 213111101122.

It is a happy number.

It is a super-2 number, since 2×2211011113120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2211011113094 and 2211011113103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31656477 + ... + 31726243.

It is an arithmetic number, because the mean of its divisors is an integer number (55751050656).

Almost surely, 2^{2211011113120} is an apocalyptic number.

2211011113120 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 2211011113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676050431488).

2211011113120 is an abundant number, since it is smaller than the sum of its proper divisors (3141089749856).

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

2211011113120 is a wasteful number, since it uses less digits than its factorization.

2211011113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74654 (or 74646 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2211011113120 its reverse (213111101122), we get a palindrome (2424122214242).

The spelling of 2211011113120 in words is "two trillion, two hundred eleven billion, eleven million, one hundred thirteen thousand, one hundred twenty".