116121220 has 48 divisors (see below), whose sum is σ = 267125040. Its totient is φ = 42205184.

The previous prime is 116121211. The next prime is 116121223. The reversal of 116121220 is 22121611.

It can be written as a sum of positive squares in 8 ways, for example, as 4227136 + 111894084 = 2056^2 + 10578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 116121194 and 116121203.

It is not an unprimeable number, because it can be changed into a prime (116121223) 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, 3972 + ... + 15748.

It is an arithmetic number, because the mean of its divisors is an integer number (5565105).

Almost surely, 2^116121220 is an apocalyptic number.

116121220 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 116121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133562520).

116121220 is an abundant number, since it is smaller than the sum of its proper divisors (151003820).

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

116121220 is a wasteful number, since it uses less digits than its factorization.

116121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11832 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 116121220 is about 10775.9556420765. The cubic root of 116121220 is about 487.8697190965.

Adding to 116121220 its reverse (22121611), we get a palindrome (138242831).

The spelling of 116121220 in words is "one hundred sixteen million, one hundred twenty-one thousand, two hundred twenty".