122440100 has 36 divisors (see below), whose sum is σ = 268201584. Its totient is φ = 48514080.

The previous prime is 122440091. The next prime is 122440127. The reversal of 122440100 is 1044221.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4979 + ... + 16421.

It is an arithmetic number, because the mean of its divisors is an integer number (7450044).

Almost surely, 2^122440100 is an apocalyptic number.

122440100 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 122440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134100792).

122440100 is an abundant number, since it is smaller than the sum of its proper divisors (145761484).

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

122440100 is a wasteful number, since it uses less digits than its factorization.

122440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11564 (or 11557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 122440100 is about 11065.2654735438. The cubic root of 122440100 is about 496.5632313667.

Adding to 122440100 its reverse (1044221), we get a palindrome (123484321).

The spelling of 122440100 in words is "one hundred twenty-two million, four hundred forty thousand, one hundred".