111842120952001 has 32 divisors (see below), whose sum is σ = 122735755699200. Its totient is φ = 101071234920000.

The previous prime is 111842120951933. The next prime is 111842120952007. The reversal of 111842120952001 is 100259021248111.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111842120952001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111842120952007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4821392935 + ... + 4821416131.

It is an arithmetic number, because the mean of its divisors is an integer number (3835492365600).

Almost surely, 2^{111842120952001} is an apocalyptic number.

111842120952001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111842120952001 is a deficient number, since it is larger than the sum of its proper divisors (10893634747199).

111842120952001 is a wasteful number, since it uses less digits than its factorization.

111842120952001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26805.

The product of its (nonzero) digits is 11520, while the sum is 37.

The spelling of 111842120952001 in words is "one hundred eleven trillion, eight hundred forty-two billion, one hundred twenty million, nine hundred fifty-two thousand, one".