122222011111120 has 160 divisors (see below), whose sum is σ = 312548616277920. Its totient is φ = 44241992417280.

The previous prime is 122222011111049. The next prime is 122222011111129. The reversal of 122222011111120 is 21111110222221.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 12359246487184 + 109862764623936 = 3515572^2 + 10481544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122222011111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3075714 + ... + 15934366.

It is an arithmetic number, because the mean of its divisors is an integer number (1953428851737).

Almost surely, 2^{122222011111120} is an apocalyptic number.

122222011111120 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 122222011111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156274308138960).

122222011111120 is an abundant number, since it is smaller than the sum of its proper divisors (190326605166800).

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

122222011111120 is a wasteful number, since it uses less digits than its factorization.

122222011111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12858953 (or 12858947 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122222011111120 its reverse (21111110222221), we get a palindrome (143333121333341).

The spelling of 122222011111120 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, eleven million, one hundred eleven thousand, one hundred twenty".