1200121133031 has 32 divisors (see below), whose sum is σ = 1855356664320. Its totient is φ = 765254647872.

The previous prime is 1200121133017. The next prime is 1200121133051. The reversal of 1200121133031 is 1303311210021.

1200121133031 is a `hidden beast` number, since 120 + 0 + 1 + 211 + 330 + 3 + 1 = 666.

It is not a de Polignac number, because 1200121133031 - 2⁵ = 1200121132999 is a prime.

It is a super-2 number, since 2×1200121133031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1200121132995 and 1200121133013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200121133011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15895336 + ... + 15970658.

It is an arithmetic number, because the mean of its divisors is an integer number (57979895760).

Almost surely, 2^{1200121133031} is an apocalyptic number.

1200121133031 is a deficient number, since it is larger than the sum of its proper divisors (655235531289).

1200121133031 is a wasteful number, since it uses less digits than its factorization.

1200121133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101012 (or 101006 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1200121133031 its reverse (1303311210021), we get a palindrome (2503432343052).

The spelling of 1200121133031 in words is "one trillion, two hundred billion, one hundred twenty-one million, one hundred thirty-three thousand, thirty-one".