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121001020200112 = 241322315919122219
BaseRepresentation
bin11011100000110010111110…
…110100111001010010110000
3120212102120210010212222212211
4123200302332310321102300
5111324440042132400422
61105203033513501504
734326015036405433
oct3340627664712260
9525376703788784
10121001020200112
113561127645a598
12116a2984a11894
135269468b85c00
1421c46a2ba181a
15dec7aa73d577
hex6e0cbed394b0

121001020200112 has 120 divisors (see below), whose sum is σ = 264916719244800. Its totient is φ = 53414717900544.

The previous prime is 121001020200091. The next prime is 121001020200121. The reversal of 121001020200112 is 211002020100121.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 121001020200092 and 121001020200101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 989973339 + ... + 990095557.

It is an arithmetic number, because the mean of its divisors is an integer number (2207639327040).

Almost surely, 2121001020200112 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 121001020200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132458359622400).

121001020200112 is an abundant number, since it is smaller than the sum of its proper divisors (143915699044688).

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

121001020200112 is a wasteful number, since it uses less digits than its factorization.

121001020200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138195 (or 138176 counting only the distinct ones).

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

Adding to 121001020200112 its reverse (211002020100121), we get a palindrome (332003040300233).

Subtracting 121001020200112 from its reverse (211002020100121), we obtain a palindrome (90000999900009).

The spelling of 121001020200112 in words is "one hundred twenty-one trillion, one billion, twenty million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 169 184 208 299 338 368 598 676 1196 1352 2392 2704 3887 4784 7774 15548 15919 31096 31838 62192 63676 122219 127352 206947 244438 254704 366137 413894 488876 732274 827788 977752 1464548 1588847 1655576 1955504 2690311 2811037 2929096 3177694 3311152 4759781 5380622 5622074 5858192 6355388 9519562 10761244 11244148 12710776 19039124 20655011 21522488 22488296 25421552 36543481 38078248 41310022 43044976 44976592 61877153 73086962 76156496 82620044 123754306 146173924 165240088 247508612 292347848 330480176 475065253 495017224 584695696 950130506 990034448 1900261012 1945604261 3800522024 3891208522 7601044048 7782417044 15564834088 25292855393 31129668176 44748898003 50585710786 89497796006 101171421572 178995592012 202342843144 328807120109 357991184024 404685686288 581735674039 657614240218 715982368048 1163471348078 1315228480436 2326942696156 2630456960872 4653885392312 5260913921744 7562563762507 9307770784624 15125127525014 30250255050028 60500510100056 121001020200112