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12111101000 = 2353471272029
BaseRepresentation
bin10110100011110000…
…01011110001001000
31011021001011200021022
423101320023301020
5144300420213000
65321434532012
7606060442235
oct132170136110
934231150238
1012111101000
115155445489
12241bb97008
1311b019406b
1482c69c78c
154ad3b9585
hex2d1e0bc48

12111101000 has 128 divisors (see below), whose sum is σ = 29185228800. Its totient is φ = 4701715200.

The previous prime is 12111100943. The next prime is 12111101003. The reversal of 12111101000 is 10111121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (12111101003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5967986 + ... + 5970014.

It is an arithmetic number, because the mean of its divisors is an integer number (228009600).

Almost surely, 212111101000 is an apocalyptic number.

12111101000 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 12111101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14592614400).

12111101000 is an abundant number, since it is smaller than the sum of its proper divisors (17074127800).

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

12111101000 is a wasteful number, since it uses less digits than its factorization.

12111101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12111101000 its reverse (10111121), we get a palindrome (12121212121).

The spelling of 12111101000 in words is "twelve billion, one hundred eleven million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 127 188 200 235 250 254 376 470 500 508 635 940 1000 1016 1175 1270 1880 2029 2350 2540 3175 4058 4700 5080 5875 5969 6350 8116 9400 10145 11750 11938 12700 15875 16232 20290 23500 23876 25400 29845 31750 40580 47000 47752 50725 59690 63500 81160 95363 101450 119380 127000 149225 190726 202900 238760 253625 257683 298450 381452 405800 476815 507250 515366 596900 746125 762904 953630 1014500 1030732 1193800 1288415 1492250 1907260 2029000 2061464 2384075 2576830 2984500 3814520 4768150 5153660 5969000 6442075 9536300 10307320 11920375 12111101 12884150 19072600 23840750 24222202 25768300 32210375 47681500 48444404 51536600 60555505 64420750 95363000 96888808 121111010 128841500 242222020 257683000 302777525 484444040 605555050 1211110100 1513887625 2422220200 3027775250 6055550500 12111101000