121221842401 has 16 divisors (see below), whose sum is σ = 138143397888. Its totient is φ = 105294389200.

The previous prime is 121221842393. The next prime is 121221842419. The reversal of 121221842401 is 104248122121.

It is not a de Polignac number, because 121221842401 - 2³ = 121221842393 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 121221842401.

It is not an unprimeable number, because it can be changed into a prime (121221842491) 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, 32491 + ... + 493456.

It is an arithmetic number, because the mean of its divisors is an integer number (8633962368).

Almost surely, 2^121221842401 is an apocalyptic number.

121221842401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121221842401 is a deficient number, since it is larger than the sum of its proper divisors (16921555487).

121221842401 is a wasteful number, since it uses less digits than its factorization.

121221842401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526892.

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 121221842401 its reverse (104248122121), we get a palindrome (225469964522).

The spelling of 121221842401 in words is "one hundred twenty-one billion, two hundred twenty-one million, eight hundred forty-two thousand, four hundred one".