1211346431121 has 16 divisors (see below), whose sum is σ = 1675204285248. Its totient is φ = 777958632000.

The previous prime is 1211346431107. The next prime is 1211346431131.

It is a happy number.

1211346431121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1211346431121 - 2¹⁰ = 1211346430097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1211346431131) 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, 54013695 + ... + 54036116.

It is an arithmetic number, because the mean of its divisors is an integer number (104700267828).

Almost surely, 2^{1211346431121} is an apocalyptic number.

It is an amenable number.

1211346431121 is a deficient number, since it is larger than the sum of its proper divisors (463857854127).

1211346431121 is a wasteful number, since it uses less digits than its factorization.

1211346431121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108049952.

The product of its digits is 3456, while the sum is 30.

The spelling of 1211346431121 in words is "one trillion, two hundred eleven billion, three hundred forty-six million, four hundred thirty-one thousand, one hundred twenty-one".