122400020 has 48 divisors (see below), whose sum is σ = 269256960. Its totient is φ = 46738208.

The previous prime is 122399987. The next prime is 122400029. The reversal of 122400020 is 20004221.

It is a junction number, because it is equal to n+sod(n) for n = 122399974 and 122400010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122400029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243089 + ... + 243591.

It is an arithmetic number, because the mean of its divisors is an integer number (5609520).

Almost surely, 2^122400020 is an apocalyptic number.

122400020 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 122400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134628480).

122400020 is an abundant number, since it is smaller than the sum of its proper divisors (146856940).

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

122400020 is an equidigital number, since it uses as much as digits as its factorization.

122400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 122400020 is about 11063.4542526283. The cubic root of 122400020 is about 496.5090431655.

Adding to 122400020 its reverse (20004221), we get a palindrome (142404241).

The spelling of 122400020 in words is "one hundred twenty-two million, four hundred thousand, twenty".