210123072000 has 960 divisors, whose sum is σ = 801642441600. Its totient is φ = 54842572800.

The previous prime is 210123071993. The next prime is 210123072011. The reversal of 210123072000 is 270321012.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 917567886 + ... + 917568114.

It is an arithmetic number, because the mean of its divisors is an integer number (835044210).

Almost surely, 2^210123072000 is an apocalyptic number.

210123072000 is a gapful number since it is divisible by the number (20) 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 210123072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400821220800).

210123072000 is an abundant number, since it is smaller than the sum of its proper divisors (591519369600).

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

210123072000 is an frugal number, since it uses more digits than its factorization.

210123072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 210123072000 its reverse (270321012), we get a palindrome (210393393012).

The spelling of 210123072000 in words is "two hundred ten billion, one hundred twenty-three million, seventy-two thousand".