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212111010012222 = 233471011415958441
BaseRepresentation
bin110000001110100111110001…
…011001111001110000111110
31000211000121120222122002001000
4300032213301121321300332
5210300211322030342342
62031042241445231130
762451341364011526
oct6016476131716076
91024017528562030
10212111010012222
116164885747a402
121b9586501024a6
139147ca04acb19
143a543289bc686
15197c762ab544c
hexc0e9f1679c3e

212111010012222 has 128 divisors (see below), whose sum is σ = 486195548774400. Its totient is φ = 68508183456000.

The previous prime is 212111010012193. The next prime is 212111010012229. The reversal of 212111010012222 is 222210010111212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212111010012195 and 212111010012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111010012229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3629460522 + ... + 3629518962.

It is an arithmetic number, because the mean of its divisors is an integer number (3798402724800).

Almost surely, 2212111010012222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111010012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243097774387200).

212111010012222 is an abundant number, since it is smaller than the sum of its proper divisors (274084538762178).

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

212111010012222 is a wasteful number, since it uses less digits than its factorization.

212111010012222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72759 (or 72753 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212111010012222 its reverse (222210010111212), we get a palindrome (434321020123434).

The spelling of 212111010012222 in words is "two hundred twelve trillion, one hundred eleven billion, ten million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 101 141 202 282 303 423 606 846 909 1269 1818 2538 2727 4747 5454 9494 14159 14241 28318 28482 42477 42723 58441 84954 85446 116882 127431 128169 175323 254862 256338 350646 382293 525969 665473 764586 1051938 1330946 1430059 1577907 1996419 2746727 2860118 3155814 3992838 4290177 5493454 5902541 5989257 8240181 8580354 11805082 11978514 12870531 16480362 17707623 17967771 24720543 25741062 35415246 35935542 38611593 49441086 53122869 67212773 74161629 77223186 106245738 134425546 148323258 159368607 201638319 277419427 318737214 403276638 554838854 604914957 827466119 832258281 1209829914 1654932238 1664516562 1814744871 2482398357 2496774843 3629489742 4964796714 4993549686 7447195071 7490324529 14894390142 14980649058 22341585213 38890907593 44683170426 77781815186 83574078019 116672722779 167148156038 233345445558 250722234057 350018168337 501444468114 700036336674 752166702171 1050054505011 1504333404342 2100109010022 2256500106513 3927981666893 4513000213026 7855963333786 11783945000679 23567890001358 35351835002037 70703670004074 106055505006111 212111010012222