11667007121 has 16 divisors (see below), whose sum is σ = 14884159488. Its totient is φ = 8879749200.

The previous prime is 11667007103. The next prime is 11667007123. The reversal of 11667007121 is 12170076611.

11667007121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11667007121 - 2¹⁸ = 11666744977 is a prime.

It is a super-2 number, since 2×11667007121² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11667007123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1758545 + ... + 1765166.

It is an arithmetic number, because the mean of its divisors is an integer number (930259968).

Almost surely, 2^11667007121 is an apocalyptic number.

11667007121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11667007121 is a deficient number, since it is larger than the sum of its proper divisors (3217152367).

11667007121 is a wasteful number, since it uses less digits than its factorization.

11667007121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523772.

The product of its (nonzero) digits is 3528, while the sum is 32.

The spelling of 11667007121 in words is "eleven billion, six hundred sixty-seven million, seven thousand, one hundred twenty-one".