122256000 has 256 divisors, whose sum is σ = 451900800. Its totient is φ = 32486400.

The previous prime is 122255999. The next prime is 122256011. The reversal of 122256000 is 652221.

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

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431859 + ... + 432141.

Almost surely, 2^122256000 is an apocalyptic number.

122256000 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 122256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225950400).

122256000 is an abundant number, since it is smaller than the sum of its proper divisors (329644800).

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

122256000 is an equidigital number, since it uses as much as digits as its factorization.

122256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122256000 is about 11056.9435197979. The cubic root of 122256000 is about 496.3142302978.

It can be divided in two parts, 12225 and 6000, that added together give a square (18225 = 135²).

The spelling of 122256000 in words is "one hundred twenty-two million, two hundred fifty-six thousand".