84121272144 has 1200 divisors, whose sum is σ = 333333665280. Its totient is φ = 20222576640.

The previous prime is 84121272133. The next prime is 84121272211. The reversal of 84121272144 is 44127212148.

It is a happy number.

84121272144 is a `hidden beast` number, since 8 + 412 + 1 + 27 + 214 + 4 = 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.

It is a junction number, because it is equal to n+sod(n) for n = 84121272099 and 84121272108.

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 486250042 + ... + 486250214.

Almost surely, 2^84121272144 is an apocalyptic number.

84121272144 is a gapful number since it is divisible by the number (84) 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 84121272144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166666832640).

84121272144 is an abundant number, since it is smaller than the sum of its proper divisors (249212393136).

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

84121272144 is a wasteful number, since it uses less digits than its factorization.

84121272144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 248 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The spelling of 84121272144 in words is "eighty-four billion, one hundred twenty-one million, two hundred seventy-two thousand, one hundred forty-four".