12151319040 has 480 divisors, whose sum is σ = 48948831360. Its totient is φ = 2728230912.

The previous prime is 12151319027. The next prime is 12151319093. The reversal of 12151319040 is 4091315121.

It is a happy number.

12151319040 is a `hidden beast` number, since 1 + 21 + 513 + 1 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 12151318995 and 12151319013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9514882 + ... + 9516158.

It is an arithmetic number, because the mean of its divisors is an integer number (101976732).

Almost surely, 2^12151319040 is an apocalyptic number.

12151319040 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 12151319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24474415680).

12151319040 is an abundant number, since it is smaller than the sum of its proper divisors (36797512320).

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

12151319040 is a wasteful number, since it uses less digits than its factorization.

12151319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 12151319040 in words is "twelve billion, one hundred fifty-one million, three hundred nineteen thousand, forty".