8001252000 has 288 divisors, whose sum is σ = 32454100224. Its totient is φ = 1828800000.

The previous prime is 8001251971. The next prime is 8001252001. The reversal of 8001252000 is 2521008.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (8001252001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 236125 + ... + 267875.

It is an arithmetic number, because the mean of its divisors is an integer number (112687848).

Almost surely, 2^8001252000 is an apocalyptic number.

8001252000 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 8001252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16227050112).

8001252000 is an abundant number, since it is smaller than the sum of its proper divisors (24452848224).

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

8001252000 is a wasteful number, since it uses less digits than its factorization.

8001252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31789 (or 31768 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8001252000 is about 89449.7177189509. The cubic root of 8001252000 is about 2000.1043278911.

Adding to 8001252000 its reverse (2521008), we get a palindrome (8003773008).

The spelling of 8001252000 in words is "eight billion, one million, two hundred fifty-two thousand".