121413413121 has 64 divisors (see below), whose sum is σ = 222410496000. Its totient is φ = 56866199040.

The previous prime is 121413413071. The next prime is 121413413137. The reversal of 121413413121 is 121314314121.

It is not a de Polignac number, because 121413413121 - 2¹⁰ = 121413412097 is a prime.

It is a super-2 number, since 2×121413413121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121413413091 and 121413413100.

It is not an unprimeable number, because it can be changed into a prime (121413413161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340996 + ... + 599253.

It is an arithmetic number, because the mean of its divisors is an integer number (3475164000).

Almost surely, 2^121413413121 is an apocalyptic number.

121413413121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121413413121 is a deficient number, since it is larger than the sum of its proper divisors (100997082879).

121413413121 is a wasteful number, since it uses less digits than its factorization.

121413413121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940326.

The product of its digits is 576, while the sum is 24.

Adding to 121413413121 its reverse (121314314121), we get a palindrome (242727727242).

The spelling of 121413413121 in words is "one hundred twenty-one billion, four hundred thirteen million, four hundred thirteen thousand, one hundred twenty-one".