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12127610000 = 245411110251
BaseRepresentation
bin10110100101101110…
…01010010010010000
31011022012020102100202
423102313022102100
5144314132010000
65323224434332
7606350661362
oct132267122220
934265212322
1012127610000
1151637a0990
1224256189a8
1311b37244bc
14830958d32
154aea7add5
hex2d2dca490

12127610000 has 100 divisors (see below), whose sum is σ = 32031734064. Its totient is φ = 4410000000.

The previous prime is 12127609999. The next prime is 12127610023. The reversal of 12127610000 is 1672121.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54875 + ... + 165125.

Almost surely, 212127610000 is an apocalyptic number.

12127610000 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 12127610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015867032).

12127610000 is an abundant number, since it is smaller than the sum of its proper divisors (19904124064).

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

12127610000 is a wasteful number, since it uses less digits than its factorization.

12127610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110290 (or 110269 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The spelling of 12127610000 in words is "twelve billion, one hundred twenty-seven million, six hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 110251 220502 441004 551255 882008 1102510 1212761 1764016 2205020 2425522 2756275 4410040 4851044 5512550 6063805 8820080 9702088 11025100 12127610 13781375 19404176 22050200 24255220 27562750 30319025 44100400 48510440 55125500 60638050 68906875 97020880 110251000 121276100 137813750 151595125 220502000 242552200 275627500 303190250 485104400 551255000 606380500 757975625 1102510000 1212761000 1515951250 2425522000 3031902500 6063805000 12127610000