123420672000 has 864 divisors, whose sum is σ = 476336899584. Its totient is φ = 31850496000.

The previous prime is 123420671999. The next prime is 123420672049. The reversal of 123420672000 is 276024321.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3981311985 + ... + 3981312015.

It is an arithmetic number, because the mean of its divisors is an integer number (551315856).

Almost surely, 2^123420672000 is an apocalyptic number.

123420672000 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 123420672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238168449792).

123420672000 is an abundant number, since it is smaller than the sum of its proper divisors (352916227584).

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

123420672000 is an frugal number, since it uses more digits than its factorization.

123420672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 123420672000 its reverse (276024321), we get a palindrome (123696696321).

The spelling of 123420672000 in words is "one hundred twenty-three billion, four hundred twenty million, six hundred seventy-two thousand".