122880000000 has 320 divisors, whose sum is σ = 409598560800. Its totient is φ = 32768000000.

The previous prime is 122879999989. The next prime is 122880000043. The reversal of 122880000000 is 88221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24575999998 + ... + 24576000002.

Almost surely, 2^122880000000 is an apocalyptic number.

122880000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122880000000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122880000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204799280400).

122880000000 is an abundant number, since it is smaller than the sum of its proper divisors (286718560800).

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

122880000000 is an frugal number, since it uses more digits than its factorization.

122880000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122880000000 its reverse (88221), we get a palindrome (122880088221).

The spelling of 122880000000 in words is "one hundred twenty-two billion, eight hundred eighty million", and thus it is an aban number.