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12012201020120 = 2357296192389879
BaseRepresentation
bin1010111011001100111011…
…1110011000101011011000
31120112100120221110010220112
42232303032332120223120
53033301441430120440
641314155020143452
72346565352662520
oct256631676305330
946470527403815
1012012201020120
113911389355904
121420065997b88
136919903a7b12
142d75721a6680
1515c6e914c965
hexaeccef98ad8

12012201020120 has 128 divisors (see below), whose sum is σ = 32005272960000. Its totient is φ = 3970027095552.

The previous prime is 12012201020117. The next prime is 12012201020231. The reversal of 12012201020120 is 2102010221021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12012201020095 and 12012201020104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3831341 + ... + 6221219.

It is an arithmetic number, because the mean of its divisors is an integer number (250041195000).

Almost surely, 212012201020120 is an apocalyptic number.

12012201020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012201020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16002636480000).

12012201020120 is an abundant number, since it is smaller than the sum of its proper divisors (19993071939880).

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

12012201020120 is a wasteful number, since it uses less digits than its factorization.

12012201020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390545 (or 2390541 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12012201020120 its reverse (2102010221021), we get a palindrome (14114211241141).

The spelling of 12012201020120 in words is "twelve trillion, twelve billion, two hundred one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 619 812 1015 1160 1238 1624 2030 2476 3095 4060 4333 4952 6190 8120 8666 12380 17332 17951 21665 24760 34664 35902 43330 71804 86660 89755 125657 143608 173320 179510 251314 359020 502628 628285 718040 1005256 1256570 2389879 2513140 4779758 5026280 9559516 11949395 16729153 19119032 23898790 33458306 47797580 66916612 69306491 83645765 95595160 133833224 138612982 167291530 277225964 334583060 346532455 485145437 554451928 669166120 693064910 970290874 1386129820 1479335101 1940581748 2425727185 2772259640 2958670202 3881163496 4851454370 5917340404 7396675505 9702908740 10355345707 11834680808 14793351010 19405817480 20710691414 29586702020 41421382828 42900717929 51776728535 59173404040 82842765656 85801435858 103553457070 171602871716 207106914140 214503589645 300305025503 343205743432 414213828280 429007179290 600610051006 858014358580 1201220102012 1501525127515 1716028717160 2402440204024 3003050255030 6006100510060 12012201020120