12051145440 has 96 divisors (see below), whose sum is σ = 42179024160. Its totient is φ = 3213637632.

The previous prime is 12051145429. The next prime is 12051145451. The reversal of 12051145440 is 4454115021.

12051145440 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 114 + 544 + 0 = 666.

12051145440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12051145429) and next prime (12051145451).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1390489 + ... + 1399128.

It is an arithmetic number, because the mean of its divisors is an integer number (439364835).

Almost surely, 2^12051145440 is an apocalyptic number.

12051145440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12051145440 is an abundant number, since it is smaller than the sum of its proper divisors (30127878720).

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

12051145440 is a wasteful number, since it uses less digits than its factorization.

12051145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789641 (or 2789627 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 12051145440 in words is "twelve billion, fifty-one million, one hundred forty-five thousand, four hundred forty".