1201003221120 has 256 divisors, whose sum is σ = 3873754368000. Its totient is φ = 316477091840.

The previous prime is 1201003221079. The next prime is 1201003221149. The reversal of 1201003221120 is 211223001021.

It is a super-2 number, since 2×1201003221120² (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 1201003221120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60103291 + ... + 60123269.

It is an arithmetic number, because the mean of its divisors is an integer number (15131853000).

Almost surely, 2^{1201003221120} is an apocalyptic number.

1201003221120 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 1201003221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936877184000).

1201003221120 is an abundant number, since it is smaller than the sum of its proper divisors (2672751146880).

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

1201003221120 is a wasteful number, since it uses less digits than its factorization.

1201003221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20371 (or 20359 counting only the distinct ones).

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

Adding to 1201003221120 its reverse (211223001021), we get a palindrome (1412226222141).

The spelling of 1201003221120 in words is "one trillion, two hundred one billion, three million, two hundred twenty-one thousand, one hundred twenty".