1001220121200 has 120 divisors (see below), whose sum is σ = 3453952748848. Its totient is φ = 246454179840.

The previous prime is 1001220121177. The next prime is 1001220121201. The reversal of 1001220121200 is 21210221001.

1001220121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001220121201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32074789 + ... + 32105988.

Almost surely, 2^{1001220121200} is an apocalyptic number.

1001220121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001220121200 is an abundant number, since it is smaller than the sum of its proper divisors (2452732627648).

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

1001220121200 is a wasteful number, since it uses less digits than its factorization.

1001220121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64180811 (or 64180800 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001220121200 its reverse (21210221001), we get a palindrome (1022430342201).

The spelling of 1001220121200 in words is "one trillion, one billion, two hundred twenty million, one hundred twenty-one thousand, two hundred".