122221110400 has 48 divisors (see below), whose sum is σ = 301924344690. Its totient is φ = 48888442880.

The previous prime is 122221110397. The next prime is 122221110433. The reversal of 122221110400 is 4011122221.

It can be written as a sum of positive squares in 3 ways, for example, as 107494802496 + 14726307904 = 327864^2 + 121352^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19093849 + ... + 19100248.

Almost surely, 2^122221110400 is an apocalyptic number.

122221110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221110400 is an abundant number, since it is smaller than the sum of its proper divisors (179703234290).

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

122221110400 is an equidigital number, since it uses as much as digits as its factorization.

122221110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38194121 (or 38194104 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122221110400 its reverse (4011122221), we get a palindrome (126232232621).

The spelling of 122221110400 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred ten thousand, four hundred".