122100240 has 80 divisors (see below), whose sum is σ = 380261376. Its totient is φ = 32409600.

The previous prime is 122100233. The next prime is 122100269. The reversal of 122100240 is 42001221.

It is a tau number, because it is divible by the number of its divisors (80).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56785 + ... + 58895.

Almost surely, 2^122100240 is an apocalyptic number.

122100240 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 122100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190130688).

122100240 is an abundant number, since it is smaller than the sum of its proper divisors (258161136).

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

122100240 is a wasteful number, since it uses less digits than its factorization.

122100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2362 counting only the distinct ones).

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

The square root of 122100240 is about 11049.8977370834. The cubic root of 122100240 is about 496.1033646873.

Adding to 122100240 its reverse (42001221), we get a palindrome (164101461).

The spelling of 122100240 in words is "one hundred twenty-two million, one hundred thousand, two hundred forty".