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211212002021120 = 285337489642067
BaseRepresentation
bin110000000001100010100000…
…010110100100111100000000
31000200211200002120111021011222
4300001202200112210330000
5210140444140004133440
62025113242040054212
762326364210120312
oct6001424026447400
91020750076437158
10211212002021120
1161331563945581
121b832374164368
1390b128b3c3839
143a22a032637b2
1519641976dc2b5
hexc018a05a4f00

211212002021120 has 72 divisors (see below), whose sum is σ = 507419992204944. Its totient is φ = 84234103898112.

The previous prime is 211212002021113. The next prime is 211212002021129. The reversal of 211212002021120 is 21120200212112.

It is a super-2 number, since 2×2112120020211202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212002021129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244389674 + ... + 245252393.

Almost surely, 2211212002021120 is an apocalyptic number.

211212002021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212002021120 is an abundant number, since it is smaller than the sum of its proper divisors (296207990183824).

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

211212002021120 is an equidigital number, since it uses as much as digits as its factorization.

211212002021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489642425 (or 489642411 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211212002021120 its reverse (21120200212112), we get a palindrome (232332202233232).

The spelling of 211212002021120 in words is "two hundred eleven trillion, two hundred twelve billion, two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 337 640 674 1280 1348 1685 2696 3370 5392 6740 10784 13480 21568 26960 43136 53920 86272 107840 215680 431360 489642067 979284134 1958568268 2448210335 3917136536 4896420670 7834273072 9792841340 15668546144 19585682680 31337092288 39171365360 62674184576 78342730720 125348369152 156685461440 165009376579 313370922880 330018753158 626741845760 660037506316 825046882895 1320075012632 1650093765790 2640150025264 3300187531580 5280300050528 6600375063160 10560600101056 13200750126320 21121200202112 26401500252640 42242400404224 52803000505280 105606001010560 211212002021120