12100400 has 90 divisors (see below), whose sum is σ = 31655340. Its totient is φ = 4442880.

The previous prime is 12100391. The next prime is 12100411. The reversal of 12100400 is 400121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67511 + ... + 67689.

It is an arithmetic number, because the mean of its divisors is an integer number (351726).

Almost surely, 2^12100400 is an apocalyptic number.

12100400 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 12100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15827670).

12100400 is an abundant number, since it is smaller than the sum of its proper divisors (19554940).

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

12100400 is a wasteful number, since it uses less digits than its factorization.

12100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 12100400 is about 3478.5629216675. The cubic root of 12100400 is about 229.5795722133.

Adding to 12100400 its reverse (400121), we get a palindrome (12500521).

It can be divided in two parts, 12100 and 400, that multiplied together give a square (4840000 = 2200²).

The spelling of 12100400 in words is "twelve million, one hundred thousand, four hundred".