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12125042034 = 2375310335273
BaseRepresentation
bin10110100101011010…
…10111010101110010
31011022000101221202220
423102231113111302
5144313002321114
65323053421510
7606320104530
oct132255272562
934260357686
1012125042034
1151622a75a6
12242479a896
1311b30356b1
1483048b150
154ae7200a9
hex2d2b57572

12125042034 has 64 divisors (see below), whose sum is σ = 28269990144. Its totient is φ = 3394999296.

The previous prime is 12125042023. The next prime is 12125042051. The reversal of 12125042034 is 43024052121.

It is a junction number, because it is equal to n+sod(n) for n = 12125041995 and 12125042013.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2296822 + ... + 2302094.

It is an arithmetic number, because the mean of its divisors is an integer number (441718596).

Almost surely, 212125042034 is an apocalyptic number.

12125042034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12125042034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14134995072).

12125042034 is an abundant number, since it is smaller than the sum of its proper divisors (16144948110).

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

12125042034 is a wasteful number, since it uses less digits than its factorization.

12125042034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6371.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12125042034 its reverse (43024052121), we get a palindrome (55149094155).

The spelling of 12125042034 in words is "twelve billion, one hundred twenty-five million, forty-two thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 742 1033 1113 2066 2226 3099 5273 6198 7231 10546 14462 15819 21693 31638 36911 43386 54749 73822 109498 110733 164247 221466 279469 328494 383243 558938 766486 838407 1149729 1676814 1956283 2299458 3912566 5447009 5868849 10894018 11737698 16341027 32682054 38129063 76258126 114387189 228774378 288691477 577382954 866074431 1732148862 2020840339 4041680678 6062521017 12125042034