121348368 has 180 divisors, whose sum is σ = 374403120. Its totient is φ = 38035008.

The previous prime is 121348361. The next prime is 121348393. The reversal of 121348368 is 863843121.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (27648) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (121348361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2056723 + ... + 2056781.

Almost surely, 2^121348368 is an apocalyptic number.

121348368 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 121348368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187201560).

121348368 is an abundant number, since it is smaller than the sum of its proper divisors (253054752).

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

121348368 is an equidigital number, since it uses as much as digits as its factorization.

121348368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 87 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 121348368 is about 11015.8235279983. The cubic root of 121348368 is about 495.0829613016.

It can be divided in two parts, 12134 and 8368, that added together give a palindrome (20502).

The spelling of 121348368 in words is "one hundred twenty-one million, three hundred forty-eight thousand, three hundred sixty-eight".