121123669248 has 144 divisors (see below), whose sum is σ = 358754213440. Its totient is φ = 40310286336.

The previous prime is 121123669241. The next prime is 121123669313. The reversal of 121123669248 is 842966321121.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121123669241) 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, 4430790 + ... + 4458042.

Almost surely, 2^121123669248 is an apocalyptic number.

121123669248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121123669248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179377106720).

121123669248 is an abundant number, since it is smaller than the sum of its proper divisors (237630544192).

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

121123669248 is an equidigital number, since it uses as much as digits as its factorization.

121123669248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27921 (or 27901 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 121123669248 in words is "one hundred twenty-one billion, one hundred twenty-three million, six hundred sixty-nine thousand, two hundred forty-eight".