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212212023120 = 2434532748769
BaseRepresentation
bin1100010110100011010…
…0100111111101010000
3202021202102100201220000
43011220310213331100
511434102234214440
6241253332050000
721221545301646
oct3055064477520
9667672321800
10212212023120
1181aa9177999
1235165463900
131701c38a666
14a3b1d31196
1557c0626730
hex3168d27f50

212212023120 has 100 divisors (see below), whose sum is σ = 737043817620. Its totient is φ = 56589871104.

The previous prime is 212212023091. The next prime is 212212023137. The reversal of 212212023120 is 21320212212.

212212023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26395851024 + 185816172096 = 162468^2 + 431064^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212212023093 and 212212023102.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 16367905 + ... + 16380864.

Almost surely, 2212212023120 is an apocalyptic number.

212212023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212023120 is an abundant number, since it is smaller than the sum of its proper divisors (524831794500).

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

212212023120 is a wasteful number, since it uses less digits than its factorization.

212212023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32748794 (or 32748779 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212212023120 its reverse (21320212212), we get a palindrome (233532235332).

The spelling of 212212023120 in words is "two hundred twelve billion, two hundred twelve million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 32748769 65497538 98246307 130995076 163743845 196492614 261990152 294738921 327487690 392985228 491231535 523980304 589477842 654975380 785970456 884216763 982463070 1178955684 1309950760 1473694605 1571940912 1768433526 1964926140 2357911368 2619901520 2652650289 2947389210 3536867052 3929852280 4421083815 4715822736 5305300578 5894778420 7073734104 7859704560 8842167630 10610601156 11789556840 13263251445 14147468208 17684335260 21221202312 23579113680 26526502890 35368670520 42442404624 53053005780 70737341040 106106011560 212212023120