1126557534312 has 576 divisors, whose sum is σ = 3778858137600. Its totient is φ = 301771008000.

The previous prime is 1126557534281. The next prime is 1126557534367. The reversal of 1126557534312 is 2134357556211.

1126557534312 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 557 + 53 + 43 + 1 + 2 = 666.

It is a super-3 number, since 3×1126557534312³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1136788137 + ... + 1136789127.

It is an arithmetic number, because the mean of its divisors is an integer number (6560517600).

Almost surely, 2^{1126557534312} is an apocalyptic number.

1126557534312 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 1126557534312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889429068800).

1126557534312 is an abundant number, since it is smaller than the sum of its proper divisors (2652300603288).

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

1126557534312 is a wasteful number, since it uses less digits than its factorization.

1126557534312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1344 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 1126557534312 in words is "one trillion, one hundred twenty-six billion, five hundred fifty-seven million, five hundred thirty-four thousand, three hundred twelve".