121314320000 has 160 divisors (see below), whose sum is σ = 306156201780. Its totient is φ = 47858688000.

The previous prime is 121314319969. The next prime is 121314320027. The reversal of 121314320000 is 23413121.

It can be written as a sum of positive squares in 10 ways, for example, as 37650496 + 121276669504 = 6136^2 + 348248^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5829614 + ... + 5850386.

Almost surely, 2^121314320000 is an apocalyptic number.

121314320000 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 121314320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153078100890).

121314320000 is an abundant number, since it is smaller than the sum of its proper divisors (184841881780).

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

121314320000 is an frugal number, since it uses more digits than its factorization.

121314320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20880 (or 20853 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 121314320000 its reverse (23413121), we get a palindrome (121337733121).

The spelling of 121314320000 in words is "one hundred twenty-one billion, three hundred fourteen million, three hundred twenty thousand".