1211306031121 has 16 divisors (see below), whose sum is σ = 1226884517568. Its totient is φ = 1195800408000.

The previous prime is 1211306031101. The next prime is 1211306031127.

It is a happy number.

1211306031121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1211306031121 - 2¹³ = 1211306022929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1211306031092 and 1211306031101.

It is not an unprimeable number, because it can be changed into a prime (1211306031127) 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, 133237786 + ... + 133246876.

It is an arithmetic number, because the mean of its divisors is an integer number (76680282348).

Almost surely, 2^{1211306031121} is an apocalyptic number.

It is an amenable number.

1211306031121 is a deficient number, since it is larger than the sum of its proper divisors (15578486447).

1211306031121 is a wasteful number, since it uses less digits than its factorization.

1211306031121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12912.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 1211306031121 in words is "one trillion, two hundred eleven billion, three hundred six million, thirty-one thousand, one hundred twenty-one".