122271059072 has 72 divisors (see below), whose sum is σ = 251950697505. Its totient is φ = 59104074240.

The previous prime is 122271059059. The next prime is 122271059077. The reversal of 122271059072 is 270950172221.

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.

122271059072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 103462582336 + 18808476736 = 321656^2 + 137144^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247256.

It is not an unprimeable number, because it can be changed into a prime (122271059077) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 122638478 + ... + 122639474.

Almost surely, 2^122271059072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122271059072

122271059072 is an abundant number, since it is smaller than the sum of its proper divisors (129679638433).

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

122271059072 is an frugal number, since it uses more digits than its factorization.

122271059072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 122271059072 in words is "one hundred twenty-two billion, two hundred seventy-one million, fifty-nine thousand, seventy-two".