121135424531121 has 864 divisors, whose sum is σ = 262715109156864. Its totient is φ = 52136176435200.

The previous prime is 121135424531119. The next prime is 121135424531141.

121135424531121 is a `hidden beast` number, since 1 + 2 + 1 + 135 + 42 + 453 + 11 + 21 = 666.

121135424531121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121135424531121 - 2¹ = 121135424531119 is a prime.

It is a super-2 number, since 2×121135424531121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121135424531141) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 122235543936 + ... + 122235544926.

It is an arithmetic number, because the mean of its divisors is an integer number (304068413376).

Almost surely, 2^{121135424531121} is an apocalyptic number.

121135424531121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121135424531121 is an abundant number, since it is smaller than the sum of its proper divisors (141579684625743).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121135424531121 is a wasteful number, since it uses less digits than its factorization.

121135424531121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1132 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 121135424531121 in words is "one hundred twenty-one trillion, one hundred thirty-five billion, four hundred twenty-four million, five hundred thirty-one thousand, one hundred twenty-one".