Search a number
-
+
212123320120 = 23517719433861
BaseRepresentation
bin1100010110001110001…
…0001111111100111000
3202021112020110011020201
43011203202033330320
511433412032220440
6241240442531544
721216420320425
oct3054342177470
9667466404221
10212123320120
1181a630a2028
123513b806bb4
1317006ba0b8a
14a3a4240d4c
1557b795419a
hex316388ff38

212123320120 has 64 divisors (see below), whose sum is σ = 506056636800. Its totient is φ = 79746938880.

The previous prime is 212123320067. The next prime is 212123320121. The reversal of 212123320120 is 21023321212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123320121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271990 + ... + 705850.

It is an arithmetic number, because the mean of its divisors is an integer number (7907134950).

Almost surely, 2212123320120 is an apocalyptic number.

212123320120 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 212123320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253028318400).

212123320120 is an abundant number, since it is smaller than the sum of its proper divisors (293933316680).

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

212123320120 is a wasteful number, since it uses less digits than its factorization.

212123320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434608 (or 434604 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 212123320120 its reverse (21023321212), we get a palindrome (233146641332).

The spelling of 212123320120 in words is "two hundred twelve billion, one hundred twenty-three million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 719 1438 2876 3595 5752 7190 12223 14380 24446 28760 48892 61115 97784 122230 244460 433861 488920 867722 1735444 2169305 3470888 4338610 7375637 8677220 14751274 17354440 29502548 36878185 59005096 73756370 147512740 295025480 311946059 623892118 1247784236 1559730295 2495568472 3119460590 5303083003 6238921180 10606166006 12477842360 21212332012 26515415015 42424664024 53030830030 106061660060 212123320120