21210312123000 has 6144 divisors, whose sum is σ = 110741337907200. Its totient is φ = 3511517184000.

The previous prime is 21210312122971. The next prime is 21210312123059. The reversal of 21210312123000 is 32121301212.

21210312123000 is a `hidden beast` number, since 2 + 121 + 0 + 31 + 212 + 300 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 107666558902 + ... + 107666559098.

It is an arithmetic number, because the mean of its divisors is an integer number (18024306300).

Almost surely, 2^{21210312123000} is an apocalyptic number.

21210312123000 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 21210312123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55370668953600).

21210312123000 is an abundant number, since it is smaller than the sum of its proper divisors (89531025784200).

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

21210312123000 is a wasteful number, since it uses less digits than its factorization.

21210312123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21210312123000 its reverse (32121301212), we get a palindrome (21242433424212).

It can be divided in two parts, 21210312 and 123000, that added together give a palindrome (21333312).

The spelling of 21210312123000 in words is "twenty-one trillion, two hundred ten billion, three hundred twelve million, one hundred twenty-three thousand".