122027679360 has 768 divisors, whose sum is σ = 468213782400. Its totient is φ = 30277877760.

The previous prime is 122027679313. The next prime is 122027679373. The reversal of 122027679360 is 63976720221.

122027679360 is a `hidden beast` number, since 1 + 220 + 2 + 7 + 67 + 9 + 360 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 180247342 + ... + 180248018.

Almost surely, 2^122027679360 is an apocalyptic number.

122027679360 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 122027679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234106891200).

122027679360 is an abundant number, since it is smaller than the sum of its proper divisors (346186103040).

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

122027679360 is an equidigital number, since it uses as much as digits as its factorization.

122027679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 122027679360 in words is "one hundred twenty-two billion, twenty-seven million, six hundred seventy-nine thousand, three hundred sixty".