1200105132511 has 16 divisors (see below), whose sum is σ = 1219027968000. Its totient is φ = 1181277871488.

The previous prime is 1200105132509. The next prime is 1200105132547. The reversal of 1200105132511 is 1152315010021.

It is a cyclic number.

It is not a de Polignac number, because 1200105132511 - 2¹ = 1200105132509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200105133511) 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, 117387546 + ... + 117397768.

It is an arithmetic number, because the mean of its divisors is an integer number (76189248000).

Almost surely, 2^{1200105132511} is an apocalyptic number.

1200105132511 is a deficient number, since it is larger than the sum of its proper divisors (18922835489).

1200105132511 is a wasteful number, since it uses less digits than its factorization.

1200105132511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14718.

The product of its (nonzero) digits is 300, while the sum is 22.

The spelling of 1200105132511 in words is "one trillion, two hundred billion, one hundred five million, one hundred thirty-two thousand, five hundred eleven".