123972768000 has 864 divisors, whose sum is σ = 470069308800. Its totient is φ = 32530636800.

The previous prime is 123972767983. The next prime is 123972768037. The reversal of 123972768000 is 867279321.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 832031926 + ... + 832032074.

It is an arithmetic number, because the mean of its divisors is an integer number (544061700).

Almost surely, 2^123972768000 is an apocalyptic number.

123972768000 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 123972768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235034654400).

123972768000 is an abundant number, since it is smaller than the sum of its proper divisors (346096540800).

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

123972768000 is an equidigital number, since it uses as much as digits as its factorization.

123972768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 123972768000 in words is "one hundred twenty-three billion, nine hundred seventy-two million, seven hundred sixty-eight thousand".