12151557068040 has 384 divisors, whose sum is σ = 44793067737600. Its totient is φ = 2832193382400.

The previous prime is 12151557068023. The next prime is 12151557068099. The reversal of 12151557068040 is 4086075515121.

12151557068040 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 15 + 570 + 68 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 169000977 + ... + 169072863.

It is an arithmetic number, because the mean of its divisors is an integer number (116648613900).

Almost surely, 2^{12151557068040} is an apocalyptic number.

12151557068040 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 12151557068040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22396533868800).

12151557068040 is an abundant number, since it is smaller than the sum of its proper divisors (32641510669560).

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

12151557068040 is a wasteful number, since it uses less digits than its factorization.

12151557068040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73837 (or 73830 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 12151557068040 in words is "twelve trillion, one hundred fifty-one billion, five hundred fifty-seven million, sixty-eight thousand, forty".