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12021001020112 = 2474113211981691
BaseRepresentation
bin1010111011101101101101…
…1111101110001011010000
31120120012022020012110111011
42232323123133232023100
53033423002230120422
641322212134500304
72350326416516260
oct256733337561320
946505266173434
1012021001020112
113915094764077
121421900b04694
136927635a0ac6
142d7b68bd97a0
1515ca619c0077
hexaeedb7ee2d0

12021001020112 has 80 divisors (see below), whose sum is σ = 27287803718784. Its totient is φ = 5022395136000.

The previous prime is 12021001020103. The next prime is 12021001020143. The reversal of 12021001020112 is 21102010012021.

It is a junction number, because it is equal to n+sod(n) for n = 12021001020092 and 12021001020101.

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, 5075187 + ... + 7056877.

Almost surely, 212021001020112 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 12021001020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13643901859392).

12021001020112 is an abundant number, since it is smaller than the sum of its proper divisors (15266802698672).

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

12021001020112 is a wasteful number, since it uses less digits than its factorization.

12021001020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983068 (or 1983062 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12021001020112 its reverse (21102010012021), we get a palindrome (33123011032133).

The spelling of 12021001020112 in words is "twelve trillion, twenty-one billion, one million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 1321 2296 2642 4592 5284 9247 10568 18494 21136 36988 54161 73976 108322 147952 216644 379127 433288 758254 866576 1516508 1981691 3033016 3963382 6066032 7926764 13871837 15853528 27743674 31707056 55487348 81249331 110974696 162498662 221949392 324997324 568745317 649994648 1137490634 1299989296 2274981268 2617813811 4549962536 5235627622 9099925072 10471255244 18324696677 20942510488 36649393354 41885020976 73298786708 107330366251 146597573416 214660732502 293195146832 429321465004 751312563757 858642930008 1502625127514 1717285860016 3005250255028 6010500510056 12021001020112