122100220 has 48 divisors (see below), whose sum is σ = 286247808. Its totient is φ = 43364160.

The previous prime is 122100211. The next prime is 122100233. The reversal of 122100220 is 22001221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 122100197 and 122100206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3007 + ... + 15913.

It is an arithmetic number, because the mean of its divisors is an integer number (5963496).

Almost surely, 2^122100220 is an apocalyptic number.

122100220 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 122100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143123904).

122100220 is an abundant number, since it is smaller than the sum of its proper divisors (164147588).

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

122100220 is a wasteful number, since it uses less digits than its factorization.

122100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12970 (or 12968 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 122100220 is about 11049.8968320976. The cubic root of 122100220 is about 496.1033376001.

Adding to 122100220 its reverse (22001221), we get a palindrome (144101441).

The spelling of 122100220 in words is "one hundred twenty-two million, one hundred thousand, two hundred twenty".