122350272 has 112 divisors (see below), whose sum is σ = 371856000. Its totient is φ = 35112960.

The previous prime is 122350219. The next prime is 122350279. The reversal of 122350272 is 272053221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (122350279) 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 15 ways as a sum of consecutive naturals, for example, 38604 + ... + 41652.

Almost surely, 2^122350272 is an apocalyptic number.

122350272 is a gapful number since it is divisible by the number (12) 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 122350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185928000).

122350272 is an abundant number, since it is smaller than the sum of its proper divisors (249505728).

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

122350272 is a wasteful number, since it uses less digits than its factorization.

122350272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 122350272 is about 11061.2057208968. The cubic root of 122350272 is about 496.4417673621.

The spelling of 122350272 in words is "one hundred twenty-two million, three hundred fifty thousand, two hundred seventy-two".