1221221001120 has 48 divisors (see below), whose sum is σ = 3846846155040. Its totient is φ = 325658933504.

The previous prime is 1221221001101. The next prime is 1221221001131. The reversal of 1221221001120 is 211001221221.

It is a tau number, because it is divible by the number of its divisors (48).

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 1221221001120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1272104730 + ... + 1272105689.

It is an arithmetic number, because the mean of its divisors is an integer number (80142628230).

Almost surely, 2^{1221221001120} is an apocalyptic number.

1221221001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221221001120 is an abundant number, since it is smaller than the sum of its proper divisors (2625625153920).

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

1221221001120 is a wasteful number, since it uses less digits than its factorization.

1221221001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544210437 (or 2544210429 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1221221001120 its reverse (211001221221), we get a palindrome (1432222222341).

The spelling of 1221221001120 in words is "one trillion, two hundred twenty-one billion, two hundred twenty-one million, one thousand, one hundred twenty".