85212412000 has 96 divisors (see below), whose sum is σ = 214236326304. Its totient is φ = 33292224000.

The previous prime is 85212411989. The next prime is 85212412001. The reversal of 85212412000 is 21421258.

It is a super-2 number, since 2×85212412000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85212412001) 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 15 ways as a sum of consecutive naturals, for example, 75711 + ... + 419710.

It is an arithmetic number, because the mean of its divisors is an integer number (2231628399).

Almost surely, 2^85212412000 is an apocalyptic number.

85212412000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85212412000 is an abundant number, since it is smaller than the sum of its proper divisors (129023914304).

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

85212412000 is a wasteful number, since it uses less digits than its factorization.

85212412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495489 (or 495471 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 85212412000 its reverse (21421258), we get a palindrome (85233833258).

The spelling of 85212412000 in words is "eighty-five billion, two hundred twelve million, four hundred twelve thousand".