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12041031000 = 2335310737511
BaseRepresentation
bin10110011011011001…
…11000110101011000
31011002011022202022010
423031230320311120
5144130000443000
65310453025520
7604250034435
oct131554706530
934064282263
1012041031000
115119936899
1224006252a0
13119b7cc71b
1482325cb8c
154a7177d50
hex2cdb38d58

12041031000 has 128 divisors (see below), whose sum is σ = 37920130560. Its totient is φ = 3180848000.

The previous prime is 12041030999. The next prime is 12041031019. The reversal of 12041031000 is 13014021.

It is a happy number.

It is a super-2 number, since 2×120410310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302245 + ... + 339755.

It is an arithmetic number, because the mean of its divisors is an integer number (296251020).

Almost surely, 212041031000 is an apocalyptic number.

12041031000 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 12041031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960065280).

12041031000 is an abundant number, since it is smaller than the sum of its proper divisors (25879099560).

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

12041031000 is a wasteful number, since it uses less digits than its factorization.

12041031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37642 (or 37628 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12041031000 its reverse (13014021), we get a palindrome (12054045021).

The spelling of 12041031000 in words is "twelve billion, forty-one million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 107 120 125 150 200 214 250 300 321 375 428 500 535 600 642 750 856 1000 1070 1284 1500 1605 2140 2568 2675 3000 3210 4280 5350 6420 8025 10700 12840 13375 16050 21400 26750 32100 37511 40125 53500 64200 75022 80250 107000 112533 150044 160500 187555 225066 300088 321000 375110 450132 562665 750220 900264 937775 1125330 1500440 1875550 2250660 2813325 3751100 4013677 4501320 4688875 5626650 7502200 8027354 9377750 11253300 12041031 14066625 16054708 18755500 20068385 22506600 24082062 28133250 32109416 37511000 40136770 48164124 56266500 60205155 80273540 96328248 100341925 112533000 120410310 160547080 200683850 240820620 301025775 401367700 481641240 501709625 602051550 802735400 1003419250 1204103100 1505128875 2006838500 2408206200 3010257750 4013677000 6020515500 12041031000