1211124211121 has 24 divisors (see below), whose sum is σ = 1351335740832. Its totient is φ = 1084403548800.

The previous prime is 1211124211117. The next prime is 1211124211153.

1211124211121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1211124211121 - 2² = 1211124211117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1211124211093 and 1211124211102.

It is not an unprimeable number, because it can be changed into a prime (1211124211181) 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, 73692521 + ... + 73708953.

It is an arithmetic number, because the mean of its divisors is an integer number (56305655868).

Almost surely, 2^{1211124211121} is an apocalyptic number.

1211124211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211124211121 is a deficient number, since it is larger than the sum of its proper divisors (140211529711).

1211124211121 is a wasteful number, since it uses less digits than its factorization.

1211124211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25613 (or 25602 counting only the distinct ones).

The product of its digits is 64, while the sum is 20.

The spelling of 1211124211121 in words is "one trillion, two hundred eleven billion, one hundred twenty-four million, two hundred eleven thousand, one hundred twenty-one".