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12210123000 = 2335319012141
BaseRepresentation
bin10110101111100011…
…11011000011111000
31011111221111111220210
423113301323003320
5200001242414000
65335333151120
7611402222145
oct132761730370
934457444823
1012210123000
1151a6329149
12244918b4a0
1311c785466a
1483b8b73cc
154b6e29350
hex2d7c7b0f8

12210123000 has 128 divisors (see below), whose sum is σ = 38133426240. Its totient is φ = 3252800000.

The previous prime is 12210122849. The next prime is 12210123019. The reversal of 12210123000 is 32101221.

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, 5701930 + ... + 5704070.

Almost surely, 212210123000 is an apocalyptic number.

12210123000 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 12210123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19066713120).

12210123000 is an abundant number, since it is smaller than the sum of its proper divisors (25923303240).

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

12210123000 is a wasteful number, since it uses less digits than its factorization.

12210123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12210123000 its reverse (32101221), we get a palindrome (12242224221).

The spelling of 12210123000 in words is "twelve billion, two hundred ten million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1901 2141 3000 3802 4282 5703 6423 7604 8564 9505 10705 11406 12846 15208 17128 19010 21410 22812 25692 28515 32115 38020 42820 45624 47525 51384 53525 57030 64230 76040 85640 95050 107050 114060 128460 142575 160575 190100 214100 228120 237625 256920 267625 285150 321150 380200 428200 475250 535250 570300 642300 712875 802875 950500 1070500 1140600 1284600 1425750 1605750 1901000 2141000 2851500 3211500 4070041 5703000 6423000 8140082 12210123 16280164 20350205 24420246 32560328 40700410 48840492 61050615 81400820 97680984 101751025 122101230 162801640 203502050 244202460 305253075 407004100 488404920 508755125 610506150 814008200 1017510250 1221012300 1526265375 2035020500 2442024600 3052530750 4070041000 6105061500 12210123000