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12100010220112 = 242983827379913
BaseRepresentation
bin1011000000010100000011…
…0011111001101001010000
31120211202020111221200101211
42300011000303321221100
53041221310104020422
641422400140105504
72356124350605163
oct260050063715120
946752214850354
1012100010220112
113945649360481
121435090b35294
1369a04536a119
142db90213dada
1515eb37ec8577
hexb0140cf9a50

12100010220112 has 80 divisors (see below), whose sum is σ = 24574114031040. Its totient is φ = 5764012706816.

The previous prime is 12100010220047. The next prime is 12100010220113. The reversal of 12100010220112 is 21102201000121.

It is a junction number, because it is equal to n+sod(n) for n = 12100010220092 and 12100010220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100010220113) by changing a digit.

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, 31659468 + ... + 32039380.

It is an arithmetic number, because the mean of its divisors is an integer number (307176425388).

Almost surely, 212100010220112 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 12100010220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12287057015520).

12100010220112 is an abundant number, since it is smaller than the sum of its proper divisors (12474103810928).

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

12100010220112 is a wasteful number, since it uses less digits than its factorization.

12100010220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380860 (or 380854 counting only the distinct ones).

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

Adding to 12100010220112 its reverse (21102201000121), we get a palindrome (33202211220233).

The spelling of 12100010220112 in words is "twelve trillion, one hundred billion, ten million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 83 116 166 232 332 464 664 827 1328 1654 2407 3308 4814 6616 9628 13232 19256 23983 38512 47966 68641 95932 137282 191864 274564 379913 383728 549128 759826 1098256 1519652 1990589 3039304 3981178 6078608 7962356 11017477 15924712 22034954 31532779 31849424 44069908 63065558 88139816 126131116 176279632 252262232 314188051 504524464 628376102 914450591 1256752204 1828901182 2513504408 3657802364 5027008816 7315604728 9111453479 14631209456 18222906958 26077608233 36445813916 52155216466 72891627832 104310432932 145783255664 208620865864 417241731728 756250638757 1512501277514 3025002555028 6050005110056 12100010220112