84022122312 has 180 divisors, whose sum is σ = 240642978345. Its totient is φ = 27390016512.

The previous prime is 84022122281. The next prime is 84022122329. The reversal of 84022122312 is 21322122048.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

84022122312 is a `hidden beast` number, since 8 + 402 + 21 + 2 + 231 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78011841636 + 6010280676 = 279306^2 + 77526^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=204966.

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

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 44 ways as a sum of consecutive naturals, for example, 435347688 + ... + 435347880.

Almost surely, 2^84022122312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84022122312

84022122312 is an abundant number, since it is smaller than the sum of its proper divisors (156620856033).

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

84022122312 is an equidigital number, since it uses as much as digits as its factorization.

84022122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 84022122312 in words is "eighty-four billion, twenty-two million, one hundred twenty-two thousand, three hundred twelve".