1011120012012 has 96 divisors (see below), whose sum is σ = 2634583311360. Its totient is φ = 299164380480.

The previous prime is 1011120011879. The next prime is 1011120012043. The reversal of 1011120012012 is 2102100211101.

It is a super-2 number, since 2×1011120012012² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16105539 + ... + 16168197.

It is an arithmetic number, because the mean of its divisors is an integer number (27443576160).

Almost surely, 2^{1011120012012} is an apocalyptic number.

1011120012012 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 1011120012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317291655680).

1011120012012 is an abundant number, since it is smaller than the sum of its proper divisors (1623463299348).

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

1011120012012 is a wasteful number, since it uses less digits than its factorization.

1011120012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65563 (or 65561 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011120012012 its reverse (2102100211101), we get a palindrome (3113220223113).

The spelling of 1011120012012 in words is "one trillion, eleven billion, one hundred twenty million, twelve thousand, twelve".