122444100 has 108 divisors (see below), whose sum is σ = 394274244. Its totient is φ = 31760640.

The previous prime is 122444087. The next prime is 122444117. The reversal of 122444100 is 1444221.

122444100 is a `hidden beast` number, since 1 + 224 + 441 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7225344 + 115218756 = 2688^2 + 10734^2 .

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

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, 31462 + ... + 35138.

Almost surely, 2^122444100 is an apocalyptic number.

122444100 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 122444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197137122).

122444100 is an abundant number, since it is smaller than the sum of its proper divisors (271830144).

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

122444100 is a wasteful number, since it uses less digits than its factorization.

122444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 122444100 is about 11065.4462178441. The cubic root of 122444100 is about 496.5686387218.

Adding to 122444100 its reverse (1444221), we get a palindrome (123888321).

The spelling of 122444100 in words is "one hundred twenty-two million, four hundred forty-four thousand, one hundred".