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212212332120 = 2335171131974673
BaseRepresentation
bin1100010110100011010…
…1110011011001011000
3202021202102221102202110
43011220311303121120
511434102324111440
6241253342432320
721221551026555
oct3055065633130
9667672842673
10212212332120
1181aa9369068
12351655926a0
131701c4681b9
14a3b1db1a2c
1557c0688080
hex3168d73658

212212332120 has 256 divisors, whose sum is σ = 683649901440. Its totient is φ = 52510588928.

The previous prime is 212212332107. The next prime is 212212332121. The reversal of 212212332120 is 21233212212.

212212332120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212332121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45410104 + ... + 45414776.

Almost surely, 2212212332120 is an apocalyptic number.

212212332120 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 212212332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341824950720).

212212332120 is an abundant number, since it is smaller than the sum of its proper divisors (471437569320).

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

212212332120 is a wasteful number, since it uses less digits than its factorization.

212212332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212212332120 its reverse (21233212212), we get a palindrome (233445544332).

The spelling of 212212332120 in words is "two hundred twelve billion, two hundred twelve million, three hundred thirty-two thousand, one hundred twenty".