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212111003213120 = 26511163369685937
BaseRepresentation
bin110000001110100111110000…
…111111111101110101000000
31000211000121120111211122102102
4300032213300333331311000
5210300211313310304440
62031042241043405532
762451341252143214
oct6016476077756500
91024017514748372
10212111003213120
1161648853656110
121b9586499838a8
139147c9bc6c19b
143a54327b2c944
15197c7621c0b15
hexc0e9f0ffdd40

212111003213120 has 112 divisors (see below), whose sum is σ = 554386947599808. Its totient is φ = 76658075688960.

The previous prime is 212111003213117. The next prime is 212111003213167. The reversal of 212111003213120 is 21312300111212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212111003213092 and 212111003213101.

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, 184269209 + ... + 185416728.

Almost surely, 2212111003213120 is an apocalyptic number.

212111003213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111003213120 is an abundant number, since it is smaller than the sum of its proper divisors (342275944386688).

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

212111003213120 is a wasteful number, since it uses less digits than its factorization.

212111003213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369686128 (or 369686118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 212111003213120 its reverse (21312300111212), we get a palindrome (233423303324332).

The spelling of 212111003213120 in words is "two hundred twelve trillion, one hundred eleven billion, three million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 163 176 220 320 326 352 440 652 704 815 880 1304 1630 1760 1793 2608 3260 3520 3586 5216 6520 7172 8965 10432 13040 14344 17930 26080 28688 35860 52160 57376 71720 114752 143440 286880 573760 369685937 739371874 1478743748 1848429685 2957487496 3696859370 4066545307 5914974992 7393718740 8133090614 11829949984 14787437480 16266181228 20332726535 23659899968 29574874960 32532362456 40665453070 59149749920 60258807731 65064724912 81330906140 118299499840 120517615462 130129449824 162661812280 241035230924 260258899648 301294038655 325323624560 482070461848 602588077310 650647249120 662846885041 964140923696 1205176154620 1301294498240 1325693770082 1928281847392 2410352309240 2651387540164 3314234425205 3856563694784 4820704618480 5302775080328 6628468850410 9641409236960 10605550160656 13256937700820 19282818473920 21211100321312 26513875401640 42422200642624 53027750803280 106055501606560 212111003213120