8123020032 has 144 divisors (see below), whose sum is σ = 22816926720. Its totient is φ = 2560352256.

The previous prime is 8123020007. The next prime is 8123020057. The reversal of 8123020032 is 2300203218.

It is an interprime number because it is at equal distance from previous prime (8123020007) and next prime (8123020057).

It is a junction number, because it is equal to n+sod(n) for n = 8123019990 and 8123020008.

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, 1569513 + ... + 1574679.

It is an arithmetic number, because the mean of its divisors is an integer number (158450880).

Almost surely, 2^8123020032 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 8123020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11408463360).

8123020032 is an abundant number, since it is smaller than the sum of its proper divisors (14693906688).

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

8123020032 is a wasteful number, since it uses less digits than its factorization.

8123020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 8123020032 is about 90127.7983310366. The cubic root of 8123020032 is about 2010.1995653440.

The spelling of 8123020032 in words is "eight billion, one hundred twenty-three million, twenty thousand, thirty-two".