121133212134144 has 72 divisors (see below), whose sum is σ = 368446853591040. Its totient is φ = 34609489179648.

The previous prime is 121133212134133. The next prime is 121133212134161. The reversal of 121133212134144 is 441431212331121.

It is a super-2 number, since 2×121133212134144² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11266104384 + ... + 11266115135.

Almost surely, 2^{121133212134144} is an apocalyptic number.

121133212134144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

121133212134144 is an abundant number, since it is smaller than the sum of its proper divisors (247313641456896).

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

121133212134144 is an equidigital number, since it uses as much as digits as its factorization.

121133212134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22532219545 (or 22532219531 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

Adding to 121133212134144 its reverse (441431212331121), we get a palindrome (562564424465265).

The spelling of 121133212134144 in words is "one hundred twenty-one trillion, one hundred thirty-three billion, two hundred twelve million, one hundred thirty-four thousand, one hundred forty-four".