8012157120 has 1344 divisors, whose sum is σ = 35946892800. Its totient is φ = 1672151040.

The previous prime is 8012157037. The next prime is 8012157133. The reversal of 8012157120 is 217512108.

8012157120 is a `hidden beast` number, since 80 + 12 + 1 + 571 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 276281266 + ... + 276281294.

It is an arithmetic number, because the mean of its divisors is an integer number (26746200).

Almost surely, 2^8012157120 is an apocalyptic number.

8012157120 is a gapful number since it is divisible by the number (80) 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 8012157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17973446400).

8012157120 is an abundant number, since it is smaller than the sum of its proper divisors (27934735680).

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

8012157120 is a wasteful number, since it uses less digits than its factorization.

8012157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 8012157120 is about 89510.6536675942. The cubic root of 8012157120 is about 2001.0125805871.

Adding to 8012157120 its reverse (217512108), we get a palindrome (8229669228).

The spelling of 8012157120 in words is "eight billion, twelve million, one hundred fifty-seven thousand, one hundred twenty".