122727150 has 336 divisors, whose sum is σ = 432618144. Its totient is φ = 25194240.

The previous prime is 122727127. The next prime is 122727151. The reversal of 122727150 is 51727221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122727151) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3316932 + ... + 3316968.

It is an arithmetic number, because the mean of its divisors is an integer number (1287554).

Almost surely, 2^122727150 is an apocalyptic number.

122727150 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 122727150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216309072).

122727150 is an abundant number, since it is smaller than the sum of its proper divisors (309890994).

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

122727150 is a wasteful number, since it uses less digits than its factorization.

122727150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 122727150 is about 11078.2286490215. The cubic root of 122727150 is about 496.9509780575.

The spelling of 122727150 in words is "one hundred twenty-two million, seven hundred twenty-seven thousand, one hundred fifty".