1220211101120 has 112 divisors (see below), whose sum is σ = 3178861308000. Its totient is φ = 442441297920.

The previous prime is 1220211101077. The next prime is 1220211101141. The reversal of 1220211101120 is 211011120221.

It is a junction number, because it is equal to n+sod(n) for n = 1220211101095 and 1220211101104.

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, 731846 + ... + 1725114.

It is an arithmetic number, because the mean of its divisors is an integer number (28382690250).

Almost surely, 2^{1220211101120} is an apocalyptic number.

1220211101120 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 1220211101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589430654000).

1220211101120 is an abundant number, since it is smaller than the sum of its proper divisors (1958650206880).

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

1220211101120 is a wasteful number, since it uses less digits than its factorization.

1220211101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993646 (or 993636 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1220211101120 its reverse (211011120221), we get a palindrome (1431222221341).

The spelling of 1220211101120 in words is "one trillion, two hundred twenty billion, two hundred eleven million, one hundred one thousand, one hundred twenty".