122886144000 has 720 divisors, whose sum is σ = 454528095840. Its totient is φ = 31929139200.

The previous prime is 122886143993. The next prime is 122886144071. The reversal of 122886144000 is 441688221.

122886144000 is a `hidden beast` number, since 12 + 28 + 8 + 614 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087487944 + ... + 1087488056.

It is an arithmetic number, because the mean of its divisors is an integer number (631289022).

Almost surely, 2^122886144000 is an apocalyptic number.

122886144000 is a gapful number since it is divisible by the number (10) 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 122886144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227264047920).

122886144000 is an abundant number, since it is smaller than the sum of its proper divisors (331641951840).

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

122886144000 is an equidigital number, since it uses as much as digits as its factorization.

122886144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 122886144000 in words is "one hundred twenty-two billion, eight hundred eighty-six million, one hundred forty-four thousand".