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212120022000112 = 24833531325934127
BaseRepresentation
bin110000001110110000001010…
…100011111010000111110000
31000211001110212001021111100021
4300032300022203322013300
5210300333301113000422
62031050332015333224
762452110613441642
oct6016601243720760
91024043761244307
10212120022000112
1161651661509286
121b95a346221214
139148aa8599735
143a54941834892
15197caddd5ddc7
hexc0ec0a8fa1f0

212120022000112 has 80 divisors (see below), whose sum is σ = 417156105300480. Its totient is φ = 104474404407296.

The previous prime is 212120022000097. The next prime is 212120022000119. The reversal of 212120022000112 is 211000220021212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120022000119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6215589993 + ... + 6215624119.

It is an arithmetic number, because the mean of its divisors is an integer number (5214451316256).

Almost surely, 2212120022000112 is an apocalyptic number.

It is an amenable number.

212120022000112 is a deficient number, since it is larger than the sum of its proper divisors (205036083300368).

212120022000112 is a wasteful number, since it uses less digits than its factorization.

212120022000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47830 (or 47824 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212120022000112 its reverse (211000220021212), we get a palindrome (423120242021324).

The spelling of 212120022000112 in words is "two hundred twelve trillion, one hundred twenty billion, twenty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 83 166 332 353 664 706 1328 1412 2824 5648 13259 26518 29299 34127 53036 58598 68254 106072 117196 136508 212144 234392 273016 468784 546032 1100497 2200994 2832541 4401988 4680427 5665082 8803976 9360854 11330164 12046831 17607952 18721708 22660328 24093662 37443416 45320656 48187324 74886832 96374648 192749296 388475441 452489893 776950882 904979786 999886973 1553901764 1809959572 1999773946 3107803528 3619919144 3999547892 6215607056 7239838288 7999095784 15998191568 37556661119 75113322238 150226644476 159728932229 300453288952 319457864458 600906577904 638915728916 1277831457832 2555662915664 13257501375007 26515002750014 53030005500028 106060011000056 212120022000112