1171409212512 has 1296 divisors, whose sum is σ = 4568868944640. Its totient is φ = 277889356800.

The previous prime is 1171409212483. The next prime is 1171409212529. The reversal of 1171409212512 is 2152129041711.

It is a happy number.

1171409212512 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 40 + 92 + 12 + 512 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4454027293 + ... + 4454027555.

It is an arithmetic number, because the mean of its divisors is an integer number (3525361840).

Almost surely, 2^{1171409212512} is an apocalyptic number.

1171409212512 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 1171409212512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284434472320).

1171409212512 is an abundant number, since it is smaller than the sum of its proper divisors (3397459732128).

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

1171409212512 is a wasteful number, since it uses less digits than its factorization.

1171409212512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 1171409212512 in words is "one trillion, one hundred seventy-one billion, four hundred nine million, two hundred twelve thousand, five hundred twelve".