2211120121120 has 192 divisors, whose sum is σ = 5746458525696. Its totient is φ = 801282493440.

The previous prime is 2211120121087. The next prime is 2211120121153. The reversal of 2211120121120 is 211210211122.

It is an interprime number because it is at equal distance from previous prime (2211120121087) and next prime (2211120121153).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2211120121094 and 2211120121103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5155567 + ... + 5567953.

It is an arithmetic number, because the mean of its divisors is an integer number (29929471488).

Almost surely, 2^{2211120121120} is an apocalyptic number.

2211120121120 is a gapful number since it is divisible by the number (20) 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 2211120121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873229262848).

2211120121120 is an abundant number, since it is smaller than the sum of its proper divisors (3535338404576).

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

2211120121120 is a wasteful number, since it uses less digits than its factorization.

2211120121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412503 (or 412495 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2211120121120 its reverse (211210211122), we get a palindrome (2422330332242).

The spelling of 2211120121120 in words is "two trillion, two hundred eleven billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty".