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212121344512 = 2971147114479
BaseRepresentation
bin1100010110001101101…
…0101101101000000000
3202021112002201210020001
43011203122231220000
511433411031011022
6241240332325344
721216364451560
oct3054332555000
9667462653201
10212121344512
1181a61a727a0
123513b013854
131700665b88c
14a3a3c88da0
1557b76b3b27
hex31636ada00

212121344512 has 160 divisors (see below), whose sum is σ = 539656888320. Its totient is φ = 80885575680.

The previous prime is 212121344497. The next prime is 212121344537. The reversal of 212121344512 is 215443121212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1795689 + ... + 1910167.

It is an arithmetic number, because the mean of its divisors is an integer number (3372855552).

Almost surely, 2212121344512 is an apocalyptic number.

212121344512 is a gapful number since it is divisible by the number (22) 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 212121344512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269828444160).

212121344512 is an abundant number, since it is smaller than the sum of its proper divisors (327535543808).

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

212121344512 is a wasteful number, since it uses less digits than its factorization.

212121344512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114562 (or 114546 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

Adding to 212121344512 its reverse (215443121212), we get a palindrome (427564465724).

The spelling of 212121344512 in words is "two hundred twelve billion, one hundred twenty-one million, three hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 64 77 88 94 112 128 154 176 188 224 256 308 329 352 376 448 512 517 616 658 704 752 896 1034 1232 1316 1408 1504 1792 2068 2464 2632 2816 3008 3584 3619 4136 4928 5264 5632 6016 7238 8272 9856 10528 12032 14476 16544 19712 21056 24064 28952 33088 39424 42112 57904 66176 84224 114479 115808 132352 168448 228958 231616 264704 457916 463232 801353 915832 926464 1259269 1602706 1831664 1852928 2518538 3205412 3663328 5037076 5380513 6410824 7326656 8814883 10074152 10761026 12821648 14653312 17629766 20148304 21522052 25643296 29306624 35259532 37663591 40296608 43044104 51286592 58613248 59185643 70519064 75327182 80593216 86088208 102573184 118371286 141038128 150654364 161186432 172176416 205146368 236742572 282076256 301308728 322372864 344352832 410292736 414299501 473485144 564152512 602617456 644745728 688705664 828599002 946970288 1128305024 1205234912 1377411328 1657198004 1893940576 2256610048 2410469824 2754822656 3314396008 3787881152 4513220096 4820939648 6628792016 7575762304 9641879296 13257584032 15151524608 19283758592 26515168064 30303049216 53030336128 106060672256 212121344512