1011443455512 has 192 divisors, whose sum is σ = 3210433574400. Its totient is φ = 281711485440.

The previous prime is 1011443455511. The next prime is 1011443455537. The reversal of 1011443455512 is 2155543441101.

1011443455512 is a `hidden beast` number, since 1 + 0 + 114 + 43 + 455 + 51 + 2 = 666.

It is a super-3 number, since 3×1011443455512³ (a number of 37 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (1011443455511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3025983 + ... + 3343569.

It is an arithmetic number, because the mean of its divisors is an integer number (16721008200).

Almost surely, 2^{1011443455512} is an apocalyptic number.

1011443455512 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 1011443455512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605216787200).

1011443455512 is an abundant number, since it is smaller than the sum of its proper divisors (2198990118888).

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

1011443455512 is a wasteful number, since it uses less digits than its factorization.

1011443455512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317766 (or 317759 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 1011443455512 its reverse (2155543441101), we get a palindrome (3166986896613).

The spelling of 1011443455512 in words is "one trillion, eleven billion, four hundred forty-three million, four hundred fifty-five thousand, five hundred twelve".