11412720 has 180 divisors, whose sum is σ = 42450408. Its totient is φ = 2745600.

The previous prime is 11412707. The next prime is 11412769. The reversal of 11412720 is 2721411.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11412693 and 11412702.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 87055 + ... + 87185.

Almost surely, 2^11412720 is an apocalyptic number.

11412720 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 11412720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21225204).

11412720 is an abundant number, since it is smaller than the sum of its proper divisors (31037688).

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

11412720 is a wasteful number, since it uses less digits than its factorization.

11412720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 11412720 is about 3378.2717475064. The cubic root of 11412720 is about 225.1453875167.

The spelling of 11412720 in words is "eleven million, four hundred twelve thousand, seven hundred twenty".