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12121123013000 = 235373166042781
BaseRepresentation
bin1011000001100010101100…
…1110110100000110001000
31120220202201220101200111222
42300120223032310012020
53042043024442404000
641440211140341212
72360502504436211
oct260305316640610
946822656350458
1012121123013000
1139535a2a42241
1214391a36a4808
1369c02b454591
142dc946134408
151604717a5a85
hexb062b3b4188

12121123013000 has 64 divisors (see below), whose sum is σ = 28751968131120. Its totient is φ = 4782032064000.

The previous prime is 12121123012981. The next prime is 12121123013119. The reversal of 12121123013000 is 31032112121.

It can be written as a sum of positive squares in 8 ways, for example, as 3225709392676 + 8895413620324 = 1796026^2 + 2982518^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12121123013000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82948391 + ... + 83094390.

Almost surely, 212121123013000 is an apocalyptic number.

12121123013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121123013000 is an abundant number, since it is smaller than the sum of its proper divisors (16630845118120).

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

12121123013000 is a wasteful number, since it uses less digits than its factorization.

12121123013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166042875 (or 166042861 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12121123013000 its reverse (31032112121), we get a palindrome (12152155125121).

The spelling of 12121123013000 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-three million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 730 1000 1460 1825 2920 3650 7300 9125 14600 18250 36500 73000 166042781 332085562 664171124 830213905 1328342248 1660427810 3320855620 4151069525 6641711240 8302139050 12121123013 16604278100 20755347625 24242246026 33208556200 41510695250 48484492052 60605615065 83021390500 96968984104 121211230130 166042781000 242422460260 303028075325 484844920520 606056150650 1212112301300 1515140376625 2424224602600 3030280753250 6060561506500 12121123013000