122254200 has 144 divisors (see below), whose sum is σ = 428566320. Its totient is φ = 31173120.

The previous prime is 122254193. The next prime is 122254201. The reversal of 122254200 is 2452221.

122254200 is a `hidden beast` number, since 122 + 2 + 542 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122254201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39924 + ... + 42876.

It is an arithmetic number, because the mean of its divisors is an integer number (2976155).

Almost surely, 2^122254200 is an apocalyptic number.

122254200 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 122254200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214283160).

122254200 is an abundant number, since it is smaller than the sum of its proper divisors (306312120).

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

122254200 is a wasteful number, since it uses less digits than its factorization.

122254200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 122254200 is about 11056.8621226820. The cubic root of 122254200 is about 496.3117945073.

The spelling of 122254200 in words is "one hundred twenty-two million, two hundred fifty-four thousand, two hundred".