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12022100211000 = 2335311364306067
BaseRepresentation
bin1010111011110001110100…
…0000110011010100111000
31120120022010211112010220210
42232330131000303110320
53033432230123223000
641322513202151120
72350365564502365
oct256743500632470
946508124463823
1012022100211000
1139155a91764a0
121421b690524a0
136928aa22a409
142d7c30ba746c
1515cac8246350
hexaef1d033538

12022100211000 has 128 divisors (see below), whose sum is σ = 40918857557760. Its totient is φ = 2914448528000.

The previous prime is 12022100210993. The next prime is 12022100211031. The reversal of 12022100211000 is 11200122021.

12022100211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 182120034 + ... + 182186033.

It is an arithmetic number, because the mean of its divisors is an integer number (319678574670).

Almost surely, 212022100211000 is an apocalyptic number.

12022100211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022100211000 is an abundant number, since it is smaller than the sum of its proper divisors (28896757346760).

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

12022100211000 is a wasteful number, since it uses less digits than its factorization.

12022100211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364306102 (or 364306088 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12022100211000 its reverse (11200122021), we get a palindrome (12033300333021).

The spelling of 12022100211000 in words is "twelve trillion, twenty-two billion, one hundred million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 364306067 728612134 1092918201 1457224268 1821530335 2185836402 2914448536 3643060670 4007366737 4371672804 5464591005 7286121340 8014733474 8743345608 9107651675 10929182010 12022100211 14572242680 16029466948 18215303350 20036833685 21858364020 24044200422 27322955025 32058933896 36430606700 40073667370 43716728040 45538258375 48088400844 54645910050 60110501055 72861213400 80147334740 91076516750 96176801688 100184168425 109291820100 120221002110 136614775125 160294669480 182153033500 200368336850 218583640200 240442004220 273229550250 300552505275 364306067000 400736673700 480884008440 500920842125 546459100500 601105010550 801473347400 1001841684250 1092918201000 1202210021100 1502762526375 2003683368500 2404420042200 3005525052750 4007366737000 6011050105500 12022100211000