12020400 has 300 divisors, whose sum is σ = 50233392. Its totient is φ = 2695680.

The previous prime is 12020389. The next prime is 12020417. The reversal of 12020400 is 402021.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 226774 + ... + 226826.

Almost surely, 2^12020400 is an apocalyptic number.

12020400 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 12020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116696).

12020400 is an abundant number, since it is smaller than the sum of its proper divisors (38212992).

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

12020400 is a wasteful number, since it uses less digits than its factorization.

12020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 12020400 is about 3467.0448511665. The cubic root of 12020400 is about 229.0725093447.

Adding to 12020400 its reverse (402021), we get a palindrome (12422421).

The spelling of 12020400 in words is "twelve million, twenty thousand, four hundred".