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12120111101000 = 235371731444443
BaseRepresentation
bin1011000001011110111011…
…1010101011010001001000
31120220200010101022020012202
42300113232322223101020
53042033441420213000
641435522511455332
72360435436353360
oct260275672532110
946820111266182
1012120111101000
113953123822831
121438b60827548
1369bbc9906496
142dc88b9a59a0
15160412a1edd5
hexb05eeeab448

12120111101000 has 64 divisors (see below), whose sum is σ = 32412639991680. Its totient is φ = 4155466660800.

The previous prime is 12120111100967. The next prime is 12120111101041. The reversal of 12120111101000 is 10111102121.

12120111101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865715222 + ... + 865729221.

It is an arithmetic number, because the mean of its divisors is an integer number (506447499870).

Almost surely, 212120111101000 is an apocalyptic number.

12120111101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120111101000 is an abundant number, since it is smaller than the sum of its proper divisors (20292528890680).

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

12120111101000 is a wasteful number, since it uses less digits than its factorization.

12120111101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731444471 (or 1731444457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12120111101000 its reverse (10111102121), we get a palindrome (12130222203121).

The spelling of 12120111101000 in words is "twelve trillion, one hundred twenty billion, one hundred eleven million, one hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 1731444443 3462888886 6925777772 8657222215 12120111101 13851555544 17314444430 24240222202 34628888860 43286111075 48480444404 60600555505 69257777720 86572222150 96960888808 121201111010 173144444300 216430555375 242402222020 303002777525 346288888600 432861110750 484804444040 606005555050 865722221500 1212011110100 1515013887625 1731444443000 2424022220200 3030027775250 6060055550500 12120111101000