123456778120 has 192 divisors, whose sum is σ = 317805120000. Its totient is φ = 43072533504.

The previous prime is 123456778087. The next prime is 123456778129. The reversal of 123456778120 is 21877654321.

It is not an unprimeable number, because it can be changed into a prime (123456778129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9207181 + ... + 9220579.

It is an arithmetic number, because the mean of its divisors is an integer number (1655235000).

Almost surely, 2^123456778120 is an apocalyptic number.

123456778120 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 123456778120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158902560000).

123456778120 is an abundant number, since it is smaller than the sum of its proper divisors (194348341880).

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

123456778120 is a wasteful number, since it uses less digits than its factorization.

123456778120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13512 (or 13495 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 123456778120 in words is "one hundred twenty-three billion, four hundred fifty-six million, seven hundred seventy-eight thousand, one hundred twenty".