12101440 has 56 divisors (see below), whose sum is σ = 31043880. Its totient is φ = 4466688.

The previous prime is 12101417. The next prime is 12101443. The reversal of 12101440 is 4410121.

It can be written as a sum of positive squares in 4 ways, for example, as 1290496 + 10810944 = 1136^2 + 3288^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 12101440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2706 + ... + 5614.

It is an arithmetic number, because the mean of its divisors is an integer number (554355).

Almost surely, 2^12101440 is an apocalyptic number.

12101440 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 12101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15521940).

12101440 is an abundant number, since it is smaller than the sum of its proper divisors (18942440).

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

12101440 is a wasteful number, since it uses less digits than its factorization.

12101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 12101440 is about 3478.7124054742. The cubic root of 12101440 is about 229.5861492938.

Adding to 12101440 its reverse (4410121), we get a palindrome (16511561).

It can be divided in two parts, 1210 and 1440, that multiplied together give a square (1742400 = 1320²).

The spelling of 12101440 in words is "twelve million, one hundred one thousand, four hundred forty".