1211011111120 has 160 divisors (see below), whose sum is σ = 2869999165440. Its totient is φ = 475152168960.

The previous prime is 1211011111117. The next prime is 1211011111151. The reversal of 1211011111120 is 211111101121.

It is a super-2 number, since 2×1211011111120² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1211011111120.

It is a congruent number.

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, 698793774 + ... + 698795506.

It is an arithmetic number, because the mean of its divisors is an integer number (17937494784).

Almost surely, 2^{1211011111120} is an apocalyptic number.

1211011111120 is a gapful number since it is divisible by the number (10) 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 1211011111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434999582720).

1211011111120 is an abundant number, since it is smaller than the sum of its proper divisors (1658988054320).

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

1211011111120 is a wasteful number, since it uses less digits than its factorization.

1211011111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1211011111120 its reverse (211111101121), we get a palindrome (1422122212241).

Subtracting from 1211011111120 its reverse (211111101121), we obtain a palindrome (999900009999).

The spelling of 1211011111120 in words is "one trillion, two hundred eleven billion, eleven million, one hundred eleven thousand, one hundred twenty".