121252252121 has 16 divisors (see below), whose sum is σ = 162800227968. Its totient is φ = 87214406400.

The previous prime is 121252252117. The next prime is 121252252133.

121252252121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121252252121 - 2² = 121252252117 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (121252252181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60564560 + ... + 60566561.

It is an arithmetic number, because the mean of its divisors is an integer number (10175014248).

Almost surely, 2^121252252121 is an apocalyptic number.

121252252121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121252252121 is a deficient number, since it is larger than the sum of its proper divisors (41547975847).

121252252121 is a wasteful number, since it uses less digits than its factorization.

121252252121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121131152.

The product of its digits is 1600, while the sum is 26.

It can be divided in two parts, 121252 and 252121, that added together give a palindrome (373373).

The spelling of 121252252121 in words is "one hundred twenty-one billion, two hundred fifty-two million, two hundred fifty-two thousand, one hundred twenty-one".