1221101211120 has 160 divisors (see below), whose sum is σ = 4414476979200. Its totient is φ = 279108829440.

The previous prime is 1221101211107. The next prime is 1221101211131. The reversal of 1221101211120 is 211121011221.

It is a happy number.

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 1221101211120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7334476 + ... + 7499115.

It is an arithmetic number, because the mean of its divisors is an integer number (27590481120).

Almost surely, 2^{1221101211120} is an apocalyptic number.

1221101211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221101211120 is an abundant number, since it is smaller than the sum of its proper divisors (3193375768080).

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

1221101211120 is a wasteful number, since it uses less digits than its factorization.

1221101211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14833628 (or 14833608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1221101211120 its reverse (211121011221), we get a palindrome (1432222222341).

The spelling of 1221101211120 in words is "one trillion, two hundred twenty-one billion, one hundred one million, two hundred eleven thousand, one hundred twenty".