1201122103005 has 128 divisors (see below), whose sum is σ = 2361383331840. Its totient is φ = 574425838080.

The previous prime is 1201122102941. The next prime is 1201122103007. The reversal of 1201122103005 is 5003012211021.

It is not a de Polignac number, because 1201122103005 - 2⁶ = 1201122102941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201122103007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37006314 + ... + 37038756.

It is an arithmetic number, because the mean of its divisors is an integer number (18448307280).

Almost surely, 2^{1201122103005} is an apocalyptic number.

1201122103005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1201122103005 is a deficient number, since it is larger than the sum of its proper divisors (1160261228835).

1201122103005 is a wasteful number, since it uses less digits than its factorization.

1201122103005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32808 (or 32802 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 1201122103005 its reverse (5003012211021), we get a palindrome (6204134314026).

The spelling of 1201122103005 in words is "one trillion, two hundred one billion, one hundred twenty-two million, one hundred three thousand, five".