122728193280 has 720 divisors, whose sum is σ = 547539721344. Its totient is φ = 25500303360.

The previous prime is 122728193239. The next prime is 122728193297. The reversal of 122728193280 is 82391827221.

122728193280 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 281 + 93 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×122728193280³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7975674 + ... + 7991046.

Almost surely, 2^122728193280 is an apocalyptic number.

122728193280 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 122728193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273769860672).

122728193280 is an abundant number, since it is smaller than the sum of its proper divisors (424811528064).

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

122728193280 is a wasteful number, since it uses less digits than its factorization.

122728193280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15424 (or 15401 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 122728193280 in words is "one hundred twenty-two billion, seven hundred twenty-eight million, one hundred ninety-three thousand, two hundred eighty".