1127612652912 has 480 divisors, whose sum is σ = 3404701460160. Its totient is φ = 347719680000.

The previous prime is 1127612652899. The next prime is 1127612652937. The reversal of 1127612652912 is 2192562167211.

1127612652912 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 612 + 6 + 5 + 29 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3406684587 + ... + 3406684917.

It is an arithmetic number, because the mean of its divisors is an integer number (7093128042).

Almost surely, 2^{1127612652912} is an apocalyptic number.

1127612652912 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 1127612652912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702350730080).

1127612652912 is an abundant number, since it is smaller than the sum of its proper divisors (2277088807248).

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

1127612652912 is a wasteful number, since it uses less digits than its factorization.

1127612652912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 1127612652912 in words is "one trillion, one hundred twenty-seven billion, six hundred twelve million, six hundred fifty-two thousand, nine hundred twelve".