212123923200 has 864 divisors, whose sum is σ = 917794590720. Its totient is φ = 46913126400.

The previous prime is 212123923177. The next prime is 212123923201. The reversal of 212123923200 is 2329321212.

212123923200 is a `hidden beast` number, since 212 + 123 + 9 + 2 + 320 + 0 = 666.

212123923200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×212123923200³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212123923201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37494772 + ... + 37500428.

Almost surely, 2^212123923200 is an apocalyptic number.

212123923200 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 212123923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458897295360).

212123923200 is an abundant number, since it is smaller than the sum of its proper divisors (705670667520).

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

212123923200 is a wasteful number, since it uses less digits than its factorization.

212123923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 212123923200 in words is "two hundred twelve billion, one hundred twenty-three million, nine hundred twenty-three thousand, two hundred".