210124800000 has 864 divisors, whose sum is σ = 819144446400. Its totient is φ = 53084160000.

The previous prime is 210124799959. The next prime is 210124800049. The reversal of 210124800000 is 8421012.

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 (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11059199991 + ... + 11059200009.

It is an arithmetic number, because the mean of its divisors is an integer number (948083850).

Almost surely, 2^210124800000 is an apocalyptic number.

210124800000 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 210124800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409572223200).

210124800000 is an abundant number, since it is smaller than the sum of its proper divisors (609019646400).

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

210124800000 is an frugal number, since it uses more digits than its factorization.

210124800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 210124800000 in words is "two hundred ten billion, one hundred twenty-four million, eight hundred thousand".