212908231200 has 288 divisors, whose sum is σ = 838609075584. Its totient is φ = 45802045440.

The previous prime is 212908231187. The next prime is 212908231223. The reversal of 212908231200 is 2132809212.

It is a super-3 number, since 3×212908231200³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 87139 + ... + 658338.

It is an arithmetic number, because the mean of its divisors is an integer number (2911837068).

Almost surely, 2^212908231200 is an apocalyptic number.

212908231200 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 212908231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419304537792).

212908231200 is an abundant number, since it is smaller than the sum of its proper divisors (625700844384).

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

212908231200 is a wasteful number, since it uses less digits than its factorization.

212908231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745524 (or 745511 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 212908231200 in words is "two hundred twelve billion, nine hundred eight million, two hundred thirty-one thousand, two hundred".