121340134400 has 132 divisors (see below), whose sum is σ = 301321503252. Its totient is φ = 48448143360.

The previous prime is 121340134379. The next prime is 121340134403. The reversal of 121340134400 is 4431043121.

It can be written as a sum of positive squares in 6 ways, for example, as 12429574144 + 108910560256 = 111488^2 + 330016^2 .

It is not an unprimeable number, because it can be changed into a prime (121340134403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15176804 + ... + 15184796.

It is an arithmetic number, because the mean of its divisors is an integer number (2282738661).

Almost surely, 2^121340134400 is an apocalyptic number.

121340134400 is a gapful number since it is divisible by the number (10) 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 121340134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150660751626).

121340134400 is an abundant number, since it is smaller than the sum of its proper divisors (179981368852).

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

121340134400 is an equidigital number, since it uses as much as digits as its factorization.

121340134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 121340134400 its reverse (4431043121), we get a palindrome (125771177521).

The spelling of 121340134400 in words is "one hundred twenty-one billion, three hundred forty million, one hundred thirty-four thousand, four hundred".