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12102341000 = 235316377393
BaseRepresentation
bin10110100010101101…
…10001000110001000
31011020102200121210212
423101112301012020
5144241144403000
65320523100252
7605623126001
oct132126610610
934212617725
1012102341000
115150501a12
122419071688
1311ab417a29
1482b45c1a8
154ac738c35
hex2d15b1188

12102341000 has 64 divisors (see below), whose sum is σ = 28340610480. Its totient is φ = 4837324800.

The previous prime is 12102340979. The next prime is 12102341011. The reversal of 12102341000 is 14320121.

It can be written as a sum of positive squares in 8 ways, for example, as 1133130244 + 10969210756 = 33662^2 + 104734^2 .

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, 1633304 + ... + 1640696.

Almost surely, 212102341000 is an apocalyptic number.

12102341000 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 12102341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170305240).

12102341000 is an abundant number, since it is smaller than the sum of its proper divisors (16238269480).

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

12102341000 is a wasteful number, since it uses less digits than its factorization.

12102341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9051 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12102341000 its reverse (14320121), we get a palindrome (12116661121).

The spelling of 12102341000 in words is "twelve billion, one hundred two million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1637 3274 6548 7393 8185 13096 14786 16370 29572 32740 36965 40925 59144 65480 73930 81850 147860 163700 184825 204625 295720 327400 369650 409250 739300 818500 924125 1478600 1637000 1848250 3696500 7393000 12102341 24204682 48409364 60511705 96818728 121023410 242046820 302558525 484093640 605117050 1210234100 1512792625 2420468200 3025585250 6051170500 12102341000