1121211111120 has 80 divisors (see below), whose sum is σ = 3493398015360. Its totient is φ = 297471903232.

The previous prime is 1121211111091. The next prime is 1121211111149. The reversal of 1121211111120 is 211111121211.

It is an interprime number because it is at equal distance from previous prime (1121211111091) and next prime (1121211111149).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1121211111120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1121211111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11809860 + ... + 11904419.

It is an arithmetic number, because the mean of its divisors is an integer number (43667475192).

Almost surely, 2^{1121211111120} is an apocalyptic number.

1121211111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121211111120 is an abundant number, since it is smaller than the sum of its proper divisors (2372186904240).

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

1121211111120 is a wasteful number, since it uses less digits than its factorization.

1121211111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23714492 (or 23714486 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 1121211111120 its reverse (211111121211), we get a palindrome (1332322232331).

The spelling of 1121211111120 in words is "one trillion, one hundred twenty-one billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".