1201112331121 has 8 divisors (see below), whose sum is σ = 1217638241864. Its totient is φ = 1184588375040.

The previous prime is 1201112331059. The next prime is 1201112331131. The reversal of 1201112331121 is 1211332111021.

It can be written as a sum of positive squares in 4 ways, for example, as 36267012721 + 1164845318400 = 190439^2 + 1079280^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1201112331121 - 2¹³ = 1201112322929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1201112331131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 770941 + ... + 1731061.

It is an arithmetic number, because the mean of its divisors is an integer number (152204780233).

Almost surely, 2^{1201112331121} is an apocalyptic number.

It is an amenable number.

1201112331121 is a deficient number, since it is larger than the sum of its proper divisors (16525910743).

1201112331121 is an equidigital number, since it uses as much as digits as its factorization.

1201112331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977331.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 1201112331121 its reverse (1211332111021), we get a palindrome (2412444442142).

The spelling of 1201112331121 in words is "one trillion, two hundred one billion, one hundred twelve million, three hundred thirty-one thousand, one hundred twenty-one".