1211111021120 has 224 divisors, whose sum is σ = 3872168568576. Its totient is φ = 348451430400.

The previous prime is 1211111021093. The next prime is 1211111021143. The reversal of 1211111021120 is 211201111121.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1211111021095 and 1211111021104.

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, 1570151 + ... + 2210790.

It is an arithmetic number, because the mean of its divisors is an integer number (17286466824).

Almost surely, 2^{1211111021120} is an apocalyptic number.

1211111021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211111021120 is an abundant number, since it is smaller than the sum of its proper divisors (2661057547456).

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

1211111021120 is a wasteful number, since it uses less digits than its factorization.

1211111021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780989 (or 3780979 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1211111021120 its reverse (211201111121), we get a palindrome (1422312132241).

Subtracting from 1211111021120 its reverse (211201111121), we obtain a palindrome (999909909999).

The spelling of 1211111021120 in words is "one trillion, two hundred eleven billion, one hundred eleven million, twenty-one thousand, one hundred twenty".