1266143104512 has 1600 divisors, whose sum is σ = 4695467470848. Its totient is φ = 334430208000.

The previous prime is 1266143104493. The next prime is 1266143104529. The reversal of 1266143104512 is 2154013416621.

1266143104512 is a `hidden beast` number, since 1 + 2 + 6 + 614 + 31 + 0 + 4 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×1266143104512² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13053021648 + ... + 13053021744.

Almost surely, 2^{1266143104512} is an apocalyptic number.

1266143104512 is a gapful number since it is divisible by the number (12) 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 1266143104512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347733735424).

1266143104512 is an abundant number, since it is smaller than the sum of its proper divisors (3429324366336).

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

1266143104512 is a wasteful number, since it uses less digits than its factorization.

1266143104512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1266143104512 in words is "one trillion, two hundred sixty-six billion, one hundred forty-three million, one hundred four thousand, five hundred twelve".