122002820172288 has 1120 divisors, whose sum is σ = 406534730861952. Its totient is φ = 36252234547200.

The previous prime is 122002820172283. The next prime is 122002820172301. The reversal of 122002820172288 is 882271028200221.

122002820172288 is a `hidden beast` number, since 1 + 2 + 20 + 0 + 282 + 0 + 1 + 72 + 288 = 666.

It is not an unprimeable number, because it can be changed into a prime (122002820172283) 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 111 ways as a sum of consecutive naturals, for example, 45002883253 + ... + 45002885963.

Almost surely, 2^{122002820172288} is an apocalyptic number.

122002820172288 is a gapful number since it is divisible by the number (18) 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 122002820172288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203267365430976).

122002820172288 is an abundant number, since it is smaller than the sum of its proper divisors (284531910689664).

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

122002820172288 is an equidigital number, since it uses as much as digits as its factorization.

122002820172288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 122002820172288 in words is "one hundred twenty-two trillion, two billion, eight hundred twenty million, one hundred seventy-two thousand, two hundred eighty-eight".