8212133160 has 320 divisors, whose sum is σ = 34413793920. Its totient is φ = 1706365440.

The previous prime is 8212133159. The next prime is 8212133179. The reversal of 8212133160 is 613312128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 233022 + ... + 265938.

It is an arithmetic number, because the mean of its divisors is an integer number (107543106).

Almost surely, 2^8212133160 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 8212133160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206896960).

8212133160 is an abundant number, since it is smaller than the sum of its proper divisors (26201660760).

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

8212133160 is a wasteful number, since it uses less digits than its factorization.

8212133160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32958 (or 32945 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8212133160 is about 90620.8207863954. The cubic root of 8212133160 is about 2017.5237735759.

Adding to 8212133160 its reverse (613312128), we get a palindrome (8825445288).

The spelling of 8212133160 in words is "eight billion, two hundred twelve million, one hundred thirty-three thousand, one hundred sixty".