122742708480 has 720 divisors, whose sum is σ = 511568918784. Its totient is φ = 27517501440.

The previous prime is 122742708449. The next prime is 122742708493. The reversal of 122742708480 is 84807247221.

122742708480 is a `hidden beast` number, since 1 + 227 + 4 + 270 + 84 + 80 = 666.

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

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38463685 + ... + 38466875.

Almost surely, 2^122742708480 is an apocalyptic number.

122742708480 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 122742708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255784459392).

122742708480 is an abundant number, since it is smaller than the sum of its proper divisors (388826210304).

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

122742708480 is an equidigital number, since it uses as much as digits as its factorization.

122742708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 122742708480 in words is "one hundred twenty-two billion, seven hundred forty-two million, seven hundred eight thousand, four hundred eighty".