1201201321200 has 480 divisors, whose sum is σ = 4129307707392. Its totient is φ = 297741312000.

The previous prime is 1201201321181. The next prime is 1201201321219. The reversal of 1201201321200 is 21231021021.

It is an interprime number because it is at equal distance from previous prime (1201201321181) and next prime (1201201321219).

It is a super-2 number, since 2×1201201321200² (a number of 25 digits) contains 22 as substring.

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 1201201321200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306661642 + ... + 306665558.

Almost surely, 2^{1201201321200} is an apocalyptic number.

1201201321200 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 1201201321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064653853696).

1201201321200 is an abundant number, since it is smaller than the sum of its proper divisors (2928106386192).

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

1201201321200 is a wasteful number, since it uses less digits than its factorization.

1201201321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4262 counting only the distinct ones).

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

Adding to 1201201321200 its reverse (21231021021), we get a palindrome (1222432342221).

The spelling of 1201201321200 in words is "one trillion, two hundred one billion, two hundred one million, three hundred twenty-one thousand, two hundred".