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12013300211000 = 2353111796101219
BaseRepresentation
bin1010111011010001000001…
…1111011101110100111000
31120112110102112202211022212
42232310100133131310320
53033311214323223000
641314500043434252
72346634530645614
oct256642037356470
946473375684285
1012013300211000
1139118a2868220
121420311b25988
13691b0703441a
142d7638174344
1515c7608c3c35
hexaed107ddd38

12013300211000 has 128 divisors (see below), whose sum is σ = 30838006368000. Its totient is φ = 4344067216000.

The previous prime is 12013300210943. The next prime is 12013300211039. The reversal of 12013300211000 is 11200331021.

It is a super-2 number, since 2×120133002110002 (a number of 27 digits) contains 22 as substring.

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, 1081610 + ... + 5019609.

It is an arithmetic number, because the mean of its divisors is an integer number (240921924750).

Almost surely, 212013300211000 is an apocalyptic number.

12013300211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013300211000 is an abundant number, since it is smaller than the sum of its proper divisors (18824706157000).

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

12013300211000 is a wasteful number, since it uses less digits than its factorization.

12013300211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6101430 (or 6101416 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12013300211000 its reverse (11200331021), we get a palindrome (12024500542021).

It can be divided in two parts, 1201330021 and 1000, that added together give a palindrome (1201331021).

The spelling of 12013300211000 in words is "twelve trillion, thirteen billion, three hundred million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 179 200 220 250 275 358 440 500 550 716 895 1000 1100 1375 1432 1790 1969 2200 2750 3580 3938 4475 5500 7160 7876 8950 9845 11000 15752 17900 19690 22375 35800 39380 44750 49225 78760 89500 98450 179000 196900 246125 393800 492250 984500 1969000 6101219 12202438 24404876 30506095 48809752 61012190 67113409 122024380 134226818 152530475 244048760 268453636 305060950 335567045 536907272 610121900 671134090 762652375 1092118201 1220243800 1342268180 1525304750 1677835225 2184236402 2684536360 3050609500 3355670450 4368472804 5460591005 6101219000 6711340900 8389176125 8736945608 10921182010 12013300211 13422681800 16778352250 21842364020 24026600422 27302955025 33556704500 43684728040 48053200844 54605910050 60066501055 67113409000 96106401688 109211820100 120133002110 136514775125 218423640200 240266004220 273029550250 300332505275 480532008440 546059100500 600665010550 1092118201000 1201330021100 1501662526375 2402660042200 3003325052750 6006650105500 12013300211000