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12423655605000 = 233541777466091
BaseRepresentation
bin1011010011001001101110…
…0101000100001100001000
31121222200121220211201100210
42310302123211010030020
53112022121313330000
642231203144001120
72421402524152653
oct264623345041410
947880556751323
1012423655605000
113a5a92a783382
1214879551601a0
136c1712b84323
1430d44576c89a
1516827b47c350
hexb4c9b944308

12423655605000 has 160 divisors (see below), whose sum is σ = 38833424451360. Its totient is φ = 3311103360000.

The previous prime is 12423655604993. The next prime is 12423655605017. The reversal of 12423655605000 is 50655632421.

It is a self number, because there is not a number n which added to its sum of digits gives 12423655605000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26421955 + ... + 26888045.

It is an arithmetic number, because the mean of its divisors is an integer number (242708902821).

Almost surely, 212423655605000 is an apocalyptic number.

12423655605000 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 12423655605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19416712225680).

12423655605000 is an abundant number, since it is smaller than the sum of its proper divisors (26409768846360).

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

12423655605000 is a wasteful number, since it uses less digits than its factorization.

12423655605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467897 (or 467878 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 12423655605000 in words is "twelve trillion, four hundred twenty-three billion, six hundred fifty-five million, six hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1777 1875 2500 3000 3554 3750 5000 5331 7108 7500 8885 10662 14216 15000 17770 21324 26655 35540 42648 44425 53310 71080 88850 106620 133275 177700 213240 222125 266550 355400 444250 466091 533100 666375 888500 932182 1066200 1110625 1332750 1398273 1777000 1864364 2221250 2330455 2665500 2796546 3331875 3728728 4442500 4660910 5331000 5593092 6663750 6991365 8885000 9321820 11186184 11652275 13327500 13982730 18643640 23304550 26655000 27965460 34956825 46609100 55930920 58261375 69913650 93218200 116522750 139827300 174784125 233045500 279654600 291306875 349568250 466091000 582613750 699136500 828243707 873920625 1165227500 1398273000 1656487414 1747841250 2330455000 2484731121 3312974828 3495682500 4141218535 4969462242 6625949656 6991365000 8282437070 9938924484 12423655605 16564874140 19877848968 20706092675 24847311210 33129748280 41412185350 49694622420 62118278025 82824370700 99389244840 103530463375 124236556050 165648741400 207060926750 248473112100 310591390125 414121853500 496946224200 517652316875 621182780250 828243707000 1035304633750 1242365560500 1552956950625 2070609267500 2484731121000 3105913901250 4141218535000 6211827802500 12423655605000