122126550 has 192 divisors, whose sum is σ = 389975040. Its totient is φ = 24583680.

The previous prime is 122126531. The next prime is 122126551. The reversal of 122126550 is 55621221.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122126550.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122126551) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 313756 + ... + 314144.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^122126550 is an apocalyptic number.

122126550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122126550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

122126550 is an abundant number, since it is smaller than the sum of its proper divisors (267848490).

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

122126550 is a wasteful number, since it uses less digits than its factorization.

122126550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 122126550 is about 11051.0881817131. The cubic root of 122126550 is about 496.1389953629.

Adding to 122126550 its reverse (55621221), we get a palindrome (177747771).

The spelling of 122126550 in words is "one hundred twenty-two million, one hundred twenty-six thousand, five hundred fifty".