122180400 has 210 divisors, whose sum is σ = 441156660. Its totient is φ = 32503680.

The previous prime is 122180371. The next prime is 122180417. The reversal of 122180400 is 4081221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 291391 + ... + 291809.

It is an arithmetic number, because the mean of its divisors is an integer number (2100746).

Almost surely, 2^122180400 is an apocalyptic number.

122180400 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 122180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220578330).

122180400 is an abundant number, since it is smaller than the sum of its proper divisors (318976260).

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

122180400 is an equidigital number, since it uses as much as digits as its factorization.

122180400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 122180400 is about 11053.5243248477. The cubic root of 122180400 is about 496.2119065058.

The spelling of 122180400 in words is "one hundred twenty-two million, one hundred eighty thousand, four hundred".