121034212224 has 128 divisors (see below), whose sum is σ = 338843184000. Its totient is φ = 38173317120.

The previous prime is 121034212207. The next prime is 121034212259. The reversal of 121034212224 is 422212430121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 121034212194 and 121034212203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6038379 + ... + 6058389.

It is an arithmetic number, because the mean of its divisors is an integer number (2647212375).

Almost surely, 2^121034212224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121034212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169421592000).

121034212224 is an abundant number, since it is smaller than the sum of its proper divisors (217808971776).

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

121034212224 is a wasteful number, since it uses less digits than its factorization.

121034212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20876 (or 20864 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 121034212224 its reverse (422212430121), we get a palindrome (543246642345).

The spelling of 121034212224 in words is "one hundred twenty-one billion, thirty-four million, two hundred twelve thousand, two hundred twenty-four".