8501122800 has 240 divisors, whose sum is σ = 30366984960. Its totient is φ = 2258784000.

The previous prime is 8501122787. The next prime is 8501122807. The reversal of 8501122800 is 82211058.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8501122807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3357535 + ... + 3360065.

It is an arithmetic number, because the mean of its divisors is an integer number (126529104).

Almost surely, 2^8501122800 is an apocalyptic number.

8501122800 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 8501122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15183492480).

8501122800 is an abundant number, since it is smaller than the sum of its proper divisors (21865862160).

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

8501122800 is a wasteful number, since it uses less digits than its factorization.

8501122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 8501122800 is about 92201.5336098050. The cubic root of 8501122800 is about 2040.9174074405.

Adding to 8501122800 its reverse (82211058), we get a palindrome (8583333858).

The spelling of 8501122800 in words is "eight billion, five hundred one million, one hundred twenty-two thousand, eight hundred".