1321200121200 has 480 divisors, whose sum is σ = 4382251517952. Its totient is φ = 340042752000.

The previous prime is 1321200121183. The next prime is 1321200121217. The reversal of 1321200121200 is 21210021231.

It is an interprime number because it is at equal distance from previous prime (1321200121183) and next prime (1321200121217).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1321200121200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2626640149 + ... + 2626640651.

Almost surely, 2^{1321200121200} is an apocalyptic number.

1321200121200 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 1321200121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191125758976).

1321200121200 is an abundant number, since it is smaller than the sum of its proper divisors (3061051396752).

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

1321200121200 is a wasteful number, since it uses less digits than its factorization.

1321200121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1321200121200 its reverse (21210021231), we get a palindrome (1342410142431).

The spelling of 1321200121200 in words is "one trillion, three hundred twenty-one billion, two hundred million, one hundred twenty-one thousand, two hundred".