1201116611121 has 16 divisors (see below), whose sum is σ = 1835802467328. Its totient is φ = 684278773200.

The previous prime is 1201116611099. The next prime is 1201116611137. The reversal of 1201116611121 is 1211166111021.

It is not a de Polignac number, because 1201116611121 - 2¹⁴ = 1201116594737 is a prime.

It is a super-2 number, since 2×1201116611121² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1201116611091 and 1201116611100.

It is not an unprimeable number, because it can be changed into a prime (1201136611121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86391885 + ... + 86405786.

It is an arithmetic number, because the mean of its divisors is an integer number (114737654208).

Almost surely, 2^{1201116611121} is an apocalyptic number.

It is an amenable number.

1201116611121 is a deficient number, since it is larger than the sum of its proper divisors (634685856207).

1201116611121 is a wasteful number, since it uses less digits than its factorization.

1201116611121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172798012.

The product of its (nonzero) digits is 144, while the sum is 24.

The spelling of 1201116611121 in words is "one trillion, two hundred one billion, one hundred sixteen million, six hundred eleven thousand, one hundred twenty-one".