1221010011120 has 80 divisors (see below), whose sum is σ = 3785253576480. Its totient is φ = 325592128512.

The previous prime is 1221010011113. The next prime is 1221010011149. The reversal of 1221010011120 is 211100101221.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 1221010011096 and 1221010011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9823602 + ... + 9947118.

It is an arithmetic number, because the mean of its divisors is an integer number (47315669706).

Almost surely, 2^{1221010011120} is an apocalyptic number.

1221010011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221010011120 is an abundant number, since it is smaller than the sum of its proper divisors (2564243565360).

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

1221010011120 is a wasteful number, since it uses less digits than its factorization.

1221010011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164722 (or 164716 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1221010011120 its reverse (211100101221), we get a palindrome (1432110112341).

The spelling of 1221010011120 in words is "one trillion, two hundred twenty-one billion, ten million, eleven thousand, one hundred twenty".