122144447778120 has 384 divisors, whose sum is σ = 420864320448000. Its totient is φ = 30616233984000.

The previous prime is 122144447778083. The next prime is 122144447778121. The reversal of 122144447778120 is 21877744441221.

122144447778120 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 4 + 4 + 447 + 7 + 78 + 120 = 666.

It is a super-2 number, since 2×122144447778120² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122144447778121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25709205745 + ... + 25709210495.

It is an arithmetic number, because the mean of its divisors is an integer number (1096000834500).

Almost surely, 2^{122144447778120} is an apocalyptic number.

122144447778120 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 122144447778120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210432160224000).

122144447778120 is an abundant number, since it is smaller than the sum of its proper divisors (298719872669880).

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

122144447778120 is a wasteful number, since it uses less digits than its factorization.

122144447778120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9333 (or 9326 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 122144447778120 in words is "one hundred twenty-two trillion, one hundred forty-four billion, four hundred forty-seven million, seven hundred seventy-eight thousand, one hundred twenty".