121111222000001 has 8 divisors (see below), whose sum is σ = 122372335275624. Its totient is φ = 119851324259200.

The previous prime is 121111221999997. The next prime is 121111222000003. The reversal of 121111222000001 is 100000222111121.

It can be written as a sum of positive squares in 4 ways, for example, as 47463501669376 + 73647720330625 = 6889376^2 + 8581825^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121111222000001 - 2² = 121111221999997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121111222000001.

It is not an unprimeable number, because it can be changed into a prime (121111222000003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303683396 + ... + 304081941.

It is an arithmetic number, because the mean of its divisors is an integer number (15296541909453).

Almost surely, 2^{121111222000001} is an apocalyptic number.

It is an amenable number.

121111222000001 is a deficient number, since it is larger than the sum of its proper divisors (1261113275623).

121111222000001 is a wasteful number, since it uses less digits than its factorization.

121111222000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607767411.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121111222000001 its reverse (100000222111121), we get a palindrome (221111444111122).

The spelling of 121111222000001 in words is "one hundred twenty-one trillion, one hundred eleven billion, two hundred twenty-two million, one", and thus it is an aban number.