122768369280 has 320 divisors, whose sum is σ = 461506874400. Its totient is φ = 31014918144.

The previous prime is 122768369219. The next prime is 122768369291. The reversal of 122768369280 is 82963867221.

122768369280 is a `hidden beast` number, since 1 + 2 + 276 + 8 + 369 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 922639 + ... + 1047281.

Almost surely, 2^122768369280 is an apocalyptic number.

122768369280 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 122768369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230753437200).

122768369280 is an abundant number, since it is smaller than the sum of its proper divisors (338738505120).

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

122768369280 is a wasteful number, since it uses less digits than its factorization.

122768369280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124693 (or 124672 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 122768369280 in words is "one hundred twenty-two billion, seven hundred sixty-eight million, three hundred sixty-nine thousand, two hundred eighty".