122027309440 has 128 divisors (see below), whose sum is σ = 300351240000. Its totient is φ = 47379087360.

The previous prime is 122027309407. The next prime is 122027309477. The reversal of 122027309440 is 44903720221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×122027309440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122027309396 and 122027309405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5210076 + ... + 5233444.

Almost surely, 2^122027309440 is an apocalyptic number.

122027309440 is a gapful number since it is divisible by the number (10) 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 122027309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150175620000).

122027309440 is an abundant number, since it is smaller than the sum of its proper divisors (178323930560).

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

122027309440 is a wasteful number, since it uses less digits than its factorization.

122027309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23628 (or 23616 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 122027309440 in words is "one hundred twenty-two billion, twenty-seven million, three hundred nine thousand, four hundred forty".