12101400 has 168 divisors, whose sum is σ = 42692580. Its totient is φ = 3188160.

The previous prime is 12101393. The next prime is 12101407. The reversal of 12101400 is 410121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12101393) and next prime (12101407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 145759 + ... + 145841.

Almost surely, 2^12101400 is an apocalyptic number.

12101400 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 12101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21346290).

12101400 is an abundant number, since it is smaller than the sum of its proper divisors (30591180).

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

12101400 is an equidigital number, since it uses as much as digits as its factorization.

12101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

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

The square root of 12101400 is about 3478.7066562158. The cubic root of 12101400 is about 229.5858963361.

Adding to 12101400 its reverse (410121), we get a palindrome (12511521).

The spelling of 12101400 in words is "twelve million, one hundred one thousand, four hundred".