122240100 has 72 divisors (see below), whose sum is σ = 355199488. Its totient is φ = 32457600.

The previous prime is 122240077. The next prime is 122240113. The reversal of 122240100 is 1042221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82365 + ... + 83835.

Almost surely, 2^122240100 is an apocalyptic number.

122240100 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 122240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177599744).

122240100 is an abundant number, since it is smaller than the sum of its proper divisors (232959388).

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

122240100 is a wasteful number, since it uses less digits than its factorization.

122240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 122240100 is about 11056.2244912086. The cubic root of 122240100 is about 496.2927133214.

Adding to 122240100 its reverse (1042221), we get a palindrome (123282321).

The spelling of 122240100 in words is "one hundred twenty-two million, two hundred forty thousand, one hundred".