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12121111000 = 2353101120011
BaseRepresentation
bin10110100100111100…
…10111100111011000
31011021202000020102001
423102132113213120
5144311001023000
65322433250344
7606241513015
oct132236274730
934252006361
1012121111000
115160062109
1224234039b4
1311b228a33b
1482db4670c
154ae1e546a
hex2d27979d8

12121111000 has 64 divisors (see below), whose sum is σ = 28644464160. Its totient is φ = 4800400000.

The previous prime is 12121110961. The next prime is 12121111007. The reversal of 12121111000 is 11112121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121111007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40995 + ... + 161005.

Almost surely, 212121111000 is an apocalyptic number.

12121111000 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 12121111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322232080).

12121111000 is an abundant number, since it is smaller than the sum of its proper divisors (16523353160).

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

12121111000 is a wasteful number, since it uses less digits than its factorization.

12121111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120133 (or 120119 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12121111000 its reverse (11112121), we get a palindrome (12132223121).

The spelling of 12121111000 in words is "twelve billion, one hundred twenty-one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 101000 120011 240022 480044 600055 960088 1200110 2400220 3000275 4800440 6000550 12001100 12121111 15001375 24002200 24242222 30002750 48484444 60005500 60605555 96968888 120011000 121211110 242422220 303027775 484844440 606055550 1212111100 1515138875 2424222200 3030277750 6060555500 12121111000