122020400 has 120 divisors (see below), whose sum is σ = 309749520. Its totient is φ = 46126080.

The previous prime is 122020397. The next prime is 122020417. The reversal of 122020400 is 4020221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 777122 + ... + 777278.

It is an arithmetic number, because the mean of its divisors is an integer number (2581246).

Almost surely, 2^122020400 is an apocalyptic number.

122020400 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 122020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154874760).

122020400 is an abundant number, since it is smaller than the sum of its proper divisors (187729120).

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

122020400 is a wasteful number, since it uses less digits than its factorization.

122020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

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

The square root of 122020400 is about 11046.2844431963. The cubic root of 122020400 is about 495.9952089374.

Adding to 122020400 its reverse (4020221), we get a palindrome (126040621).

The spelling of 122020400 in words is "one hundred twenty-two million, twenty thousand, four hundred".