122134860288 has 320 divisors, whose sum is σ = 414044928000. Its totient is φ = 34822213632.

The previous prime is 122134860259. The next prime is 122134860377. The reversal of 122134860288 is 882068431221.

122134860288 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 34 + 8 + 602 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59898373 + ... + 59900411.

It is an arithmetic number, because the mean of its divisors is an integer number (1293890400).

Almost surely, 2^122134860288 is an apocalyptic number.

122134860288 is a gapful number since it is divisible by the number (18) 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 122134860288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207022464000).

122134860288 is an abundant number, since it is smaller than the sum of its proper divisors (291910067712).

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

122134860288 is an equidigital number, since it uses as much as digits as its factorization.

122134860288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 122134860288 in words is "one hundred twenty-two billion, one hundred thirty-four million, eight hundred sixty thousand, two hundred eighty-eight".