121320001013200 has 480 divisors, whose sum is σ = 340365937507200. Its totient is φ = 41136893952000.

The previous prime is 121320001013191. The next prime is 121320001013207. The reversal of 121320001013200 is 2310100023121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121320001013207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488200980 + ... + 488449420.

It is an arithmetic number, because the mean of its divisors is an integer number (709095703140).

Almost surely, 2^{121320001013200} is an apocalyptic number.

121320001013200 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 121320001013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170182968753600).

121320001013200 is an abundant number, since it is smaller than the sum of its proper divisors (219045936494000).

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

121320001013200 is a wasteful number, since it uses less digits than its factorization.

121320001013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248631 (or 248620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121320001013200 its reverse (2310100023121), we get a palindrome (123630101036321).

The spelling of 121320001013200 in words is "one hundred twenty-one trillion, three hundred twenty billion, one million, thirteen thousand, two hundred".