122274600 has 144 divisors (see below), whose sum is σ = 441043200. Its totient is φ = 27941760.

The previous prime is 122274569. The next prime is 122274617. The reversal of 122274600 is 6472221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27321 + ... + 31479.

It is an arithmetic number, because the mean of its divisors is an integer number (3062800).

Almost surely, 2^122274600 is an apocalyptic number.

122274600 is a gapful number since it is divisible by the number (10) 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 122274600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220521600).

122274600 is an abundant number, since it is smaller than the sum of its proper divisors (318768600).

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

122274600 is a wasteful number, since it uses less digits than its factorization.

122274600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 122274600 is about 11057.7845882437. The cubic root of 122274600 is about 496.3393987328.

The spelling of 122274600 in words is "one hundred twenty-two million, two hundred seventy-four thousand, six hundred".