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21121221210112 = 21241601209267
BaseRepresentation
bin1001100110101101010101…
…11000110011000000000000
32202210011120012222102222101
410303112222320303000000
510232022230112210422
6112530542143520144
74306646360040442
oct463265270630000
982704505872871
1021121221210112
116803506820301
1224515262b9054
13ba295177626a
145303b5c9c492
152696288ccc27
hex1335aae33000

21121221210112 has 104 divisors (see below), whose sum is σ = 43339663129392. Its totient is φ = 10285842432000.

The previous prime is 21121221210109. The next prime is 21121221210137. The reversal of 21121221210112 is 21101212212112.

It is a happy number.

It is a super-2 number, since 2×211212212101122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21121221210112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100824903 + ... + 101034169.

Almost surely, 221121221210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121221210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21669831564696).

21121221210112 is an abundant number, since it is smaller than the sum of its proper divisors (22218441919280).

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

21121221210112 is an equidigital number, since it uses as much as digits as its factorization.

21121221210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209933 (or 209911 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 21121221210112 its reverse (21101212212112), we get a palindrome (42222433422224).

The spelling of 21121221210112 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 601 656 1024 1202 1312 2048 2404 2624 4096 4808 5248 9616 10496 19232 20992 24641 38464 41984 49282 76928 83968 98564 153856 167936 197128 209267 307712 394256 418534 615424 788512 837068 1230848 1577024 1674136 2461696 3154048 3348272 6308096 6696544 8579947 12616192 13393088 17159894 25232384 26786176 34319788 50464768 53572352 68639576 100929536 107144704 125769467 137279152 214289408 251538934 274558304 428578816 503077868 549116608 857157632 1006155736 1098233216 2012311472 2196466432 4024622944 4392932864 5156548147 8049245888 8785865728 10313096294 16098491776 17571731456 20626192588 32196983552 35143462912 41252385176 64393967104 82504770352 128787934208 165009540704 257575868416 330019081408 515151736832 660038162816 1320076325632 2640152651264 5280305302528 10560610605056 21121221210112