11142201252767 has 128 divisors (see below), whose sum is σ = 13127430758400. Its totient is φ = 9377263374336.

The previous prime is 11142201252761. The next prime is 11142201252797. The reversal of 11142201252767 is 76725210224111.

It is not a de Polignac number, because 11142201252767 - 2²² = 11142197058463 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 (11142201252761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35148899693 + ... + 35148900009.

It is an arithmetic number, because the mean of its divisors is an integer number (102558052800).

Almost surely, 2^{11142201252767} is an apocalyptic number.

11142201252767 is a deficient number, since it is larger than the sum of its proper divisors (1985229505633).

11142201252767 is a wasteful number, since it uses less digits than its factorization.

11142201252767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825.

The product of its (nonzero) digits is 94080, while the sum is 41.

Adding to 11142201252767 its reverse (76725210224111), we get a palindrome (87867411476878).

The spelling of 11142201252767 in words is "eleven trillion, one hundred forty-two billion, two hundred one million, two hundred fifty-two thousand, seven hundred sixty-seven".