85200124812 has 48 divisors (see below), whose sum is σ = 222734491392. Its totient is φ = 25120428480.

The previous prime is 85200124733. The next prime is 85200124817. The reversal of 85200124812 is 21842100258.

It is a super-3 number, since 3×85200124812³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (85200124817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8717488 + ... + 8727255.

It is an arithmetic number, because the mean of its divisors is an integer number (4640301904).

Almost surely, 2^85200124812 is an apocalyptic number.

It is an amenable number.

85200124812 is an abundant number, since it is smaller than the sum of its proper divisors (137534366580).

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

85200124812 is a wasteful number, since it uses less digits than its factorization.

85200124812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17444798 (or 17444796 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

It can be divided in two parts, 85200 and 124812, that added together give a palindrome (210012).

The spelling of 85200124812 in words is "eighty-five billion, two hundred million, one hundred twenty-four thousand, eight hundred twelve".