2115120 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 483072.

The previous prime is 2115107. The next prime is 2115121. The reversal of 2115120 is 215112.

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

It is a super-2 number, since 2×2115120² = 8947465228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2115096 and 2115105.

It is not an unprimeable number, because it can be changed into a prime (2115121) 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, 1051 + ... + 2309.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

2^2115120 is an apocalyptic number.

2115120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2115120 is the 840-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2115120 is an abundant number, since it is smaller than the sum of its proper divisors (5384400).

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

2115120 is a wasteful number, since it uses less digits than its factorization.

2115120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 2115120 is about 1454.3452134896. The cubic root of 2115120 is about 128.3645208211.

The spelling of 2115120 in words is "two million, one hundred fifteen thousand, one hundred twenty".