122125148334 has 384 divisors, whose sum is σ = 358052659200. Its totient is φ = 30590239680.

The previous prime is 122125148333. The next prime is 122125148351. The reversal of 122125148334 is 433841521221.

122125148334 is a `hidden beast` number, since 1 + 22 + 12 + 514 + 83 + 34 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122125148333) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35843659 + ... + 35847065.

It is an arithmetic number, because the mean of its divisors is an integer number (932428800).

Almost surely, 2^122125148334 is an apocalyptic number.

122125148334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122125148334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179026329600).

122125148334 is an abundant number, since it is smaller than the sum of its proper divisors (235927510866).

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

122125148334 is a wasteful number, since it uses less digits than its factorization.

122125148334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3492 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 122125148334 its reverse (433841521221), we get a palindrome (555966669555).

The spelling of 122125148334 in words is "one hundred twenty-two billion, one hundred twenty-five million, one hundred forty-eight thousand, three hundred thirty-four".