2221211011120 has 160 divisors (see below), whose sum is σ = 5317827137280. Its totient is φ = 862310400000.

The previous prime is 2221211011111. The next prime is 2221211011127. The reversal of 2221211011120 is 211101121222.

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 = 2221211011094 and 2221211011103.

It is not an unprimeable number, because it can be changed into a prime (2221211011127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692180076 + ... + 692183284.

It is an arithmetic number, because the mean of its divisors is an integer number (33236419608).

Almost surely, 2^{2221211011120} is an apocalyptic number.

2221211011120 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 2221211011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658913568640).

2221211011120 is an abundant number, since it is smaller than the sum of its proper divisors (3096616126160).

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

2221211011120 is a wasteful number, since it uses less digits than its factorization.

2221211011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4289 counting only the distinct ones).

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

Adding to 2221211011120 its reverse (211101121222), we get a palindrome (2432312132342).

The spelling of 2221211011120 in words is "two trillion, two hundred twenty-one billion, two hundred eleven million, eleven thousand, one hundred twenty".