121353442304 has 44 divisors (see below), whose sum is σ = 243452256468. Its totient is φ = 60460646400.

The previous prime is 121353442289. The next prime is 121353442313. The reversal of 121353442304 is 403244353121.

It can be written as a sum of positive squares in 2 ways, for example, as 82686152704 + 38667289600 = 287552^2 + 196640^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76874 + ... + 498614.

Almost surely, 2^121353442304 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 121353442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121726128234).

121353442304 is an abundant number, since it is smaller than the sum of its proper divisors (122098814164).

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

121353442304 is an equidigital number, since it uses as much as digits as its factorization.

121353442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422042 (or 422024 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 121353442304 its reverse (403244353121), we get a palindrome (524597795425).

The spelling of 121353442304 in words is "one hundred twenty-one billion, three hundred fifty-three million, four hundred forty-two thousand, three hundred four".