122144256 has 120 divisors (see below), whose sum is σ = 379819440. Its totient is φ = 37564416.

The previous prime is 122144251. The next prime is 122144261. The reversal of 122144256 is 652441221.

It is an interprime number because it is at equal distance from previous prime (122144251) and next prime (122144261).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122144251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58885 + ... + 60923.

It is an arithmetic number, because the mean of its divisors is an integer number (3165162).

Almost surely, 2^122144256 is an apocalyptic number.

122144256 is a gapful number since it is divisible by the number (16) 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 122144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189909720).

122144256 is an abundant number, since it is smaller than the sum of its proper divisors (257675184).

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

122144256 is a wasteful number, since it uses less digits than its factorization.

122144256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2057 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 122144256 is about 11051.8892502594. The cubic root of 122144256 is about 496.1629710737.

Adding to 122144256 its reverse (652441221), we get a palindrome (774585477).

The spelling of 122144256 in words is "one hundred twenty-two million, one hundred forty-four thousand, two hundred fifty-six".