121312213121 has 16 divisors (see below), whose sum is σ = 133994952000. Its totient is φ = 108910824000.

The previous prime is 121312213097. The next prime is 121312213171.

121312213121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121312213121 - 2¹⁰ = 121312212097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121312213093 and 121312213102.

It is not an unprimeable number, because it can be changed into a prime (121312213171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291830 + ... + 572528.

It is an arithmetic number, because the mean of its divisors is an integer number (8374684500).

Almost surely, 2^121312213121 is an apocalyptic number.

121312213121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121312213121 is a deficient number, since it is larger than the sum of its proper divisors (12682738879).

121312213121 is a wasteful number, since it uses less digits than its factorization.

121312213121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281200.

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 121312 and 213121, that added together give a palindrome (334433).

The spelling of 121312213121 in words is "one hundred twenty-one billion, three hundred twelve million, two hundred thirteen thousand, one hundred twenty-one".