9842121216 has 80 divisors (see below), whose sum is σ = 29133403200. Its totient is φ = 3280702464.

The previous prime is 9842121193. The next prime is 9842121221. The reversal of 9842121216 is 6121212489.

9842121216 is a `hidden beast` number, since 9 + 8 + 421 + 212 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342156 + ... + 369803.

It is an arithmetic number, because the mean of its divisors is an integer number (364167540).

Almost surely, 2^9842121216 is an apocalyptic number.

9842121216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9842121216 is an abundant number, since it is smaller than the sum of its proper divisors (19291281984).

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

9842121216 is an equidigital number, since it uses as much as digits as its factorization.

9842121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711986 (or 711964 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 9842121216 is about 99207.4655255339. The cubic root of 9842121216 is about 2143.0365092373.

The spelling of 9842121216 in words is "nine billion, eight hundred forty-two million, one hundred twenty-one thousand, two hundred sixteen".