122100420 has 48 divisors (see below), whose sum is σ = 368182080. Its totient is φ = 30055296.

The previous prime is 122100397. The next prime is 122100427. The reversal of 122100420 is 24001221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122100396 and 122100405.

It is not an unprimeable number, because it can be changed into a prime (122100427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 77490 + ... + 79049.

It is an arithmetic number, because the mean of its divisors is an integer number (7670460).

Almost surely, 2^122100420 is an apocalyptic number.

122100420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100420 is an abundant number, since it is smaller than the sum of its proper divisors (246081660).

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

122100420 is a wasteful number, since it uses less digits than its factorization.

122100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156564 (or 156562 counting only the distinct ones).

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

The square root of 122100420 is about 11049.9058819521. The cubic root of 122100420 is about 496.1036084721.

Adding to 122100420 its reverse (24001221), we get a palindrome (146101641).

The spelling of 122100420 in words is "one hundred twenty-two million, one hundred thousand, four hundred twenty".