122071642144 has 96 divisors (see below), whose sum is σ = 255969891072. Its totient is φ = 57106944000.

The previous prime is 122071642109. The next prime is 122071642177. The reversal of 122071642144 is 441246170221.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 15 ways as a sum of consecutive naturals, for example, 119560354 + ... + 119561374.

It is an arithmetic number, because the mean of its divisors is an integer number (2666353032).

Almost surely, 2^122071642144 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 122071642144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127984945536).

122071642144 is an abundant number, since it is smaller than the sum of its proper divisors (133898248928).

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

122071642144 is a wasteful number, since it uses less digits than its factorization.

122071642144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 122071642144 in words is "one hundred twenty-two billion, seventy-one million, six hundred forty-two thousand, one hundred forty-four".