122077120720 has 20 divisors (see below), whose sum is σ = 283829305860. Its totient is φ = 48830848256.

The previous prime is 122077120681. The next prime is 122077120721. The reversal of 122077120720 is 27021770221.

122077120720 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 33770677824 + 88306442896 = 183768^2 + 297164^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122077120721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 762981925 + ... + 762982084.

It is an arithmetic number, because the mean of its divisors is an integer number (14191465293).

Almost surely, 2^122077120720 is an apocalyptic number.

122077120720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122077120720 is an abundant number, since it is smaller than the sum of its proper divisors (161752185140).

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

122077120720 is a wasteful number, since it uses less digits than its factorization.

122077120720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525964022 (or 1525964016 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

Adding to 122077120720 its reverse (27021770221), we get a palindrome (149098890941).

The spelling of 122077120720 in words is "one hundred twenty-two billion, seventy-seven million, one hundred twenty thousand, seven hundred twenty".