122022101120 has 64 divisors (see below), whose sum is σ = 292402626840. Its totient is φ = 48692797440.

The previous prime is 122022101107. The next prime is 122022101129. The reversal of 122022101120 is 21101220221.

It can be written as a sum of positive squares in 4 ways, for example, as 30106414144 + 91915686976 = 173512^2 + 303176^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 122022101095 and 122022101104.

It is not an unprimeable number, because it can be changed into a prime (122022101129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43004 + ... + 495876.

Almost surely, 2^122022101120 is an apocalyptic number.

122022101120 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 122022101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146201313420).

122022101120 is an abundant number, since it is smaller than the sum of its proper divisors (170380525720).

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

122022101120 is an equidigital number, since it uses as much as digits as its factorization.

122022101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453313 (or 453301 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122022101120 its reverse (21101220221), we get a palindrome (143123321341).

The spelling of 122022101120 in words is "one hundred twenty-two billion, twenty-two million, one hundred one thousand, one hundred twenty".