1200111202001 has 16 divisors (see below), whose sum is σ = 1217702622864. Its totient is φ = 1182630150144.

The previous prime is 1200111201973. The next prime is 1200111202019. The reversal of 1200111202001 is 1002021110021.

It can be written as a sum of positive squares in 8 ways, for example, as 2870387776 + 1197240814225 = 53576^2 + 1094185^2 .

It is a cyclic number.

It is not a de Polignac number, because 1200111202001 - 2¹⁴ = 1200111185617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1200111208001) 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, 70615361 + ... + 70632353.

It is an arithmetic number, because the mean of its divisors is an integer number (76106413929).

Almost surely, 2^{1200111202001} is an apocalyptic number.

It is an amenable number.

1200111202001 is a deficient number, since it is larger than the sum of its proper divisors (17591420863).

1200111202001 is a wasteful number, since it uses less digits than its factorization.

1200111202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20180.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1200111202001 its reverse (1002021110021), we get a palindrome (2202132312022).

The spelling of 1200111202001 in words is "one trillion, two hundred billion, one hundred eleven million, two hundred two thousand, one".