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212021210122112 = 2717714013422297
BaseRepresentation
bin110000001101010100001000…
…111010100000011110000000
31000210201000210200022000002002
4300031110020322200132000
5210242223414242401422
62030533111014043132
762442012144360656
oct6015241072403600
91023630720260062
10212021210122112
1161613765806896
121b94316a3494a8
13913c68bc82b81
143a4dc4a4d0dd6
15197a2590b5692
hexc0d508ea0780

212021210122112 has 128 divisors (see below), whose sum is σ = 454662419302080. Its totient is φ = 98124070912000.

The previous prime is 212021210122097. The next prime is 212021210122123. The reversal of 212021210122112 is 211221012120212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60241748 + ... + 63664044.

Almost surely, 2212021210122112 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 212021210122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227331209651040).

212021210122112 is an abundant number, since it is smaller than the sum of its proper divisors (242641209179968).

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

212021210122112 is a wasteful number, since it uses less digits than its factorization.

212021210122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422800 (or 3422788 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212021210122112 its reverse (211221012120212), we get a palindrome (423242222242324).

The spelling of 212021210122112 in words is "two hundred twelve trillion, twenty-one billion, two hundred ten million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 128 136 142 272 284 401 544 568 802 1088 1136 1207 1604 2176 2272 2414 3208 4544 4828 6416 6817 9088 9656 12832 13634 19312 25664 27268 28471 38624 51328 54536 56942 77248 109072 113884 154496 218144 227768 436288 455536 484007 872576 911072 968014 1822144 1936028 3422297 3644288 3872056 6844594 7744112 13689188 15488224 27378376 30976448 54756752 58179049 61952896 109513504 116358098 219027008 232716196 242983087 438054016 465432392 485966174 930864784 971932348 1372341097 1861729568 1943864696 2744682194 3723459136 3887729392 4130712479 5489364388 7446918272 7775458784 8261424958 10978728776 15550917568 16522849916 21957457552 23329798649 31101835136 33045699832 43914915104 46659597298 66091399664 87829830208 93319194596 97436217887 132182799328 175659660416 186638389192 194872435774 264365598656 373276778384 389744871548 528731197312 746553556768 779489743096 1493107113536 1558979486192 1656415704079 2986214227072 3117958972384 3312831408158 6235917944768 6625662816316 12471835889536 13251325632632 26502651265264 53005302530528 106010605061056 212021210122112