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212102000012120 = 23516776434154363
BaseRepresentation
bin110000001110011111011000…
…010111011110101101011000
31000210222202100001201122110112
4300032133120113132231120
5210300034344000341440
62031034151425503452
762450602200200621
oct6016373027365530
91023882301648415
10212102000012120
1161644a53578a29
121b9569567a1b88
13914719593ac0a
143a53b12122a48
15197c3d6ab0965
hexc0e7d85deb58

212102000012120 has 64 divisors (see below), whose sum is σ = 480150091249920. Its totient is φ = 84321716977024.

The previous prime is 212102000012117. The next prime is 212102000012167. The reversal of 212102000012120 is 21210000201212.

It is a junction number, because it is equal to n+sod(n) for n = 212102000012095 and 212102000012104.

It is a congruent number.

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, 48978059 + ... + 53132421.

It is an arithmetic number, because the mean of its divisors is an integer number (7502345175780).

Almost surely, 2212102000012120 is an apocalyptic number.

212102000012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102000012120 is an abundant number, since it is smaller than the sum of its proper divisors (268048091237800).

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

212102000012120 is a wasteful number, since it uses less digits than its factorization.

212102000012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4162184 (or 4162180 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212102000012120 its reverse (21210000201212), we get a palindrome (233312000213332).

The spelling of 212102000012120 in words is "two hundred twelve trillion, one hundred two billion, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 167 334 668 835 1336 1670 3340 6680 7643 15286 30572 38215 61144 76430 152860 305720 1276381 2552762 4154363 5105524 6381905 8308726 10211048 12763810 16617452 20771815 25527620 33234904 41543630 51055240 83087260 166174520 693778621 1387557242 2775114484 3468893105 5550228968 6937786210 13875572420 27751144840 31751796409 63503592818 127007185636 158758982045 254014371272 317517964090 635035928180 1270071856360 5302550000303 10605100000606 21210200001212 26512750001515 42420400002424 53025500003030 106051000006060 212102000012120