8114226120 has 1152 divisors, whose sum is σ = 37645171200. Its totient is φ = 1471979520.

The previous prime is 8114226103. The next prime is 8114226149. The reversal of 8114226120 is 216224118.

8114226120 is a `hidden beast` number, since 8 + 1 + 1 + 42 + 2 + 612 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 91171036 + ... + 91171124.

It is an arithmetic number, because the mean of its divisors is an integer number (32678100).

Almost surely, 2^8114226120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8114226120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18822585600).

8114226120 is an abundant number, since it is smaller than the sum of its proper divisors (29530945080).

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

8114226120 is a wasteful number, since it uses less digits than its factorization.

8114226120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8114226120 is about 90078.9993283673. Note that the first 3 decimals coincide. The cubic root of 8114226120 is about 2009.4738951283.

The spelling of 8114226120 in words is "eight billion, one hundred fourteen million, two hundred twenty-six thousand, one hundred twenty".