122233011123220 has 96 divisors (see below), whose sum is σ = 262789211412000. Its totient is φ = 47740736569344.

The previous prime is 122233011123191. The next prime is 122233011123221. The reversal of 122233011123220 is 22321110332221.

It can be written as a sum of positive squares in 16 ways, for example, as 55627760393604 + 66605250729616 = 7458402^2 + 8161204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122233011123221) 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, 184810552 + ... + 185470768.

It is an arithmetic number, because the mean of its divisors is an integer number (2737387618875).

Almost surely, 2^{122233011123220} is an apocalyptic number.

122233011123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122233011123220 is an abundant number, since it is smaller than the sum of its proper divisors (140556200288780).

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

122233011123220 is a wasteful number, since it uses less digits than its factorization.

122233011123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661117 (or 661115 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 122233011123220 its reverse (22321110332221), we get a palindrome (144554121455441).

The spelling of 122233011123220 in words is "one hundred twenty-two trillion, two hundred thirty-three billion, eleven million, one hundred twenty-three thousand, two hundred twenty".