212923336320 has 768 divisors, whose sum is σ = 783634176000. Its totient is φ = 53194752000.

The previous prime is 212923336279. The next prime is 212923336393. The reversal of 212923336320 is 23633329212.

212923336320 is a `hidden beast` number, since 2 + 1 + 292 + 3 + 3 + 363 + 2 + 0 = 666.

212923336320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212923336320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1410088245 + ... + 1410088395.

It is an arithmetic number, because the mean of its divisors is an integer number (1020357000).

Almost surely, 2^212923336320 is an apocalyptic number.

212923336320 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 212923336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391817088000).

212923336320 is an abundant number, since it is smaller than the sum of its proper divisors (570710839680).

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

212923336320 is a wasteful number, since it uses less digits than its factorization.

212923336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 212923336320 in words is "two hundred twelve billion, nine hundred twenty-three million, three hundred thirty-six thousand, three hundred twenty".