122052438144 has 1152 divisors, whose sum is σ = 469630586880. Its totient is φ = 30860144640.

The previous prime is 122052438121. The next prime is 122052438259. The reversal of 122052438144 is 441834250221.

122052438144 is a `hidden beast` number, since 1 + 2 + 205 + 2 + 438 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 122052438099 and 122052438108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1140676939 + ... + 1140677045.

It is an arithmetic number, because the mean of its divisors is an integer number (407665440).

Almost surely, 2^122052438144 is an apocalyptic number.

122052438144 is a gapful number since it is divisible by the number (14) 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 122052438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234815293440).

122052438144 is an abundant number, since it is smaller than the sum of its proper divisors (347578148736).

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

122052438144 is a wasteful number, since it uses less digits than its factorization.

122052438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 122052438144 its reverse (441834250221), we get a palindrome (563886688365).

The spelling of 122052438144 in words is "one hundred twenty-two billion, fifty-two million, four hundred thirty-eight thousand, one hundred forty-four".