1011112211312 has 120 divisors (see below), whose sum is σ = 2296554011136. Its totient is φ = 429983307264.

The previous prime is 1011112211311. The next prime is 1011112211323. The reversal of 1011112211312 is 2131122111101.

It is a super-2 number, since 2×1011112211312² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011112211311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59145038 + ... + 59162130.

Almost surely, 2^{1011112211312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011112211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148277005568).

1011112211312 is an abundant number, since it is smaller than the sum of its proper divisors (1285441799824).

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

1011112211312 is a wasteful number, since it uses less digits than its factorization.

1011112211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17695 (or 17682 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 1011112211312 its reverse (2131122111101), we get a palindrome (3142234322413).

The spelling of 1011112211312 in words is "one trillion, eleven billion, one hundred twelve million, two hundred eleven thousand, three hundred twelve".