122518440072 has 324 divisors, whose sum is σ = 396282528135. Its totient is φ = 34096426560.

The previous prime is 122518440041. The next prime is 122518440089. The reversal of 122518440072 is 270044815221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122518440072 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 184 + 400 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61259220036 + 61259220036 = 247506^2 + 247506^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247506.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1476125743 + ... + 1476125825.

Almost surely, 2^122518440072 is an apocalyptic number.

122518440072 is a gapful number since it is divisible by the number (12) 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 122518440072

122518440072 is an abundant number, since it is smaller than the sum of its proper divisors (273764088063).

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

122518440072 is an equidigital number, since it uses as much as digits as its factorization.

122518440072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 122518440072 in words is "one hundred twenty-two billion, five hundred eighteen million, four hundred forty thousand, seventy-two".