116270120 has 64 divisors (see below), whose sum is σ = 280152000. Its totient is φ = 43296768.

The previous prime is 116270113. The next prime is 116270131. The reversal of 116270120 is 21072611.

116270120 = 475² + 476² + ... + 769².

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 = 116270092 and 116270101.

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, 43544 + ... + 46136.

It is an arithmetic number, because the mean of its divisors is an integer number (4377375).

Almost surely, 2^116270120 is an apocalyptic number.

116270120 is a gapful number since it is divisible by the number (10) 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 116270120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140076000).

116270120 is an abundant number, since it is smaller than the sum of its proper divisors (163881880).

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

116270120 is a wasteful number, since it uses less digits than its factorization.

116270120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 116270120 is about 10782.8623287140. The cubic root of 116270120 is about 488.0781586719.

The spelling of 116270120 in words is "one hundred sixteen million, two hundred seventy thousand, one hundred twenty".