2119211120 has 80 divisors (see below), whose sum is σ = 5340387360. Its totient is φ = 777434112.

The previous prime is 2119211117. The next prime is 2119211123. The reversal of 2119211120 is 211129112.

2119211120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2119211117) and next prime (2119211123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2119211120² = 8982111542263308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2119211092 and 2119211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119211123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156791 + ... + 169769.

It is an arithmetic number, because the mean of its divisors is an integer number (66754842).

Almost surely, 2^2119211120 is an apocalyptic number.

2119211120 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 2119211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670193680).

2119211120 is an abundant number, since it is smaller than the sum of its proper divisors (3221176240).

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

2119211120 is a wasteful number, since it uses less digits than its factorization.

2119211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13162 (or 13156 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The square root of 2119211120 is about 46034.8902464207. The cubic root of 2119211120 is about 1284.4722951416.

The spelling of 2119211120 in words is "two billion, one hundred nineteen million, two hundred eleven thousand, one hundred twenty".