12401100 has 90 divisors (see below), whose sum is σ = 40225724. Its totient is φ = 3304800.

The previous prime is 12401093. The next prime is 12401101. The reversal of 12401100 is 110421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (12401101) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7335 + ... + 8865.

Almost surely, 2^12401100 is an apocalyptic number.

12401100 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 12401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20112862).

12401100 is an abundant number, since it is smaller than the sum of its proper divisors (27824624).

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

12401100 is a wasteful number, since it uses less digits than its factorization.

12401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12401100 is about 3521.5195583725. The cubic root of 12401100 is about 231.4657494652.

Adding to 12401100 its reverse (110421), we get a palindrome (12511521).

The spelling of 12401100 in words is "twelve million, four hundred one thousand, one hundred".