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12210121000 = 2353711158573
BaseRepresentation
bin10110101111100011…
…11010100100101000
31011111221111102011201
423113301322210220
5200001242333000
65335333133544
7611402213260
oct132761724450
934457442151
1012210121000
1151a63276a0
12244918a2b4
1311c785378c
1483b8b67a0
154b6e2896a
hex2d7c7a928

12210121000 has 128 divisors (see below), whose sum is σ = 35622063360. Its totient is φ = 3805728000.

The previous prime is 12210120997. The next prime is 12210121013. The reversal of 12210121000 is 12101221.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 2287 + ... + 156286.

It is an arithmetic number, because the mean of its divisors is an integer number (278297370).

Almost surely, 212210121000 is an apocalyptic number.

12210121000 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 12210121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811031680).

12210121000 is an abundant number, since it is smaller than the sum of its proper divisors (23411942360).

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

12210121000 is a wasteful number, since it uses less digits than its factorization.

12210121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158612 (or 158598 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12210121000 its reverse (12101221), we get a palindrome (12222222221).

It can be divided in two parts, 12 and 210121000, that added together give a palindrome (210121012).

The spelling of 12210121000 in words is "twelve billion, two hundred ten million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 158573 317146 634292 792865 1110011 1268584 1585730 1744303 2220022 3171460 3488606 3964325 4440044 5550055 6342920 6977212 7928650 8721515 8880088 11100110 12210121 13954424 15857300 17443030 19821625 22200220 24420242 27750275 31714600 34886060 39643250 43607575 44400440 48840484 55500550 61050605 69772120 79286500 87215150 97680968 111001100 122101210 138751375 158573000 174430300 218037875 222002200 244202420 277502750 305253025 348860600 436075750 488404840 555005500 610506050 872151500 1110011000 1221012100 1526265125 1744303000 2442024200 3052530250 6105060500 12210121000