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12121110201000 = 2335337109199191
BaseRepresentation
bin1011000001100010101001…
…1101111100001010101000
31120220202201000021202202110
42300120222131330022220
53042043013202413000
641440210002002320
72360502260515353
oct260305235741250
946822630252673
1012121110201000
113953596791409
12143919b3463a0
1369c0288b9b08
142dc94455b29a
151604705c4850
hexb062a77c2a8

12121110201000 has 128 divisors (see below), whose sum is σ = 38839968610560. Its totient is φ = 3144936672000.

The previous prime is 12121110200957. The next prime is 12121110201049. The reversal of 12121110201000 is 10201112121.

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

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, 54488596 + ... + 54710595.

It is an arithmetic number, because the mean of its divisors is an integer number (303437254770).

Almost surely, 212121110201000 is an apocalyptic number.

12121110201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121110201000 is an abundant number, since it is smaller than the sum of its proper divisors (26718858409560).

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

12121110201000 is a wasteful number, since it uses less digits than its factorization.

12121110201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109199252 (or 109199238 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12121110201000 its reverse (10201112121), we get a palindrome (12131311313121).

The spelling of 12121110201000 in words is "twelve trillion, one hundred twenty-one billion, one hundred ten million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 109199191 218398382 327597573 436796764 545995955 655195146 873593528 1091991910 1310390292 1637987865 2183983820 2620780584 2729979775 3275975730 4040370067 4367967640 5459959550 6551951460 8080740134 8189939325 10919919100 12121110201 13103902920 13649898875 16161480268 16379878650 20201850335 21839838200 24242220402 27299797750 32322960536 32759757300 40403700670 40949696625 48484440804 54599595500 60605551005 65519514600 80807401340 81899393250 96968881608 101009251675 109199191000 121211102010 161614802680 163798786500 202018503350 242422204020 303027755025 327597573000 404037006700 484844408040 505046258375 606055510050 808074013400 1010092516750 1212111020100 1515138775125 2020185033500 2424222040200 3030277550250 4040370067000 6060555100500 12121110201000