2211211101120 has 224 divisors, whose sum is σ = 8031211776000. Its totient is φ = 504936259584.

The previous prime is 2211211101109. The next prime is 2211211101133. The reversal of 2211211101120 is 211011121122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 2211211101120.

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, 6892441 + ... + 7206119.

It is an arithmetic number, because the mean of its divisors is an integer number (35853624000).

Almost surely, 2^{2211211101120} is an apocalyptic number.

2211211101120 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 2211211101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015605888000).

2211211101120 is an abundant number, since it is smaller than the sum of its proper divisors (5820000674880).

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

2211211101120 is a wasteful number, since it uses less digits than its factorization.

2211211101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314755 (or 314745 counting only the distinct ones).

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

Adding to 2211211101120 its reverse (211011121122), we get a palindrome (2422222222242).

The spelling of 2211211101120 in words is "two trillion, two hundred eleven billion, two hundred eleven million, one hundred one thousand, one hundred twenty".