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12120020130 = 235599197451
BaseRepresentation
bin10110100100110100…
…01101010010100010
31011021122221211000110
423102122031102202
5144310211121010
65322354032150
7606226320441
oct132232152242
934248854013
1012120020130
11515a487569
122422b78656
1311b1c9795a
1482d940d58
154ae07c120
hex2d268d4a2

12120020130 has 64 divisors (see below), whose sum is σ = 29617228800. Its totient is φ = 3173342400.

The previous prime is 12120020123. The next prime is 12120020147. The reversal of 12120020130 is 3102002121.

It is a Curzon 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, 1622905 + ... + 1630355.

It is an arithmetic number, because the mean of its divisors is an integer number (462769200).

Almost surely, 212120020130 is an apocalyptic number.

12120020130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120020130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14808614400).

12120020130 is an abundant number, since it is smaller than the sum of its proper divisors (17497208670).

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

12120020130 is a wasteful number, since it uses less digits than its factorization.

12120020130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8439.

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

Adding to 12120020130 its reverse (3102002121), we get a palindrome (15222022251).

The spelling of 12120020130 in words is "twelve billion, one hundred twenty million, twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 919 1770 1838 2757 4595 5514 7451 9190 13785 14902 22353 27570 37255 44706 54221 74510 108442 111765 162663 223530 271105 325326 439609 542210 813315 879218 1318827 1626630 2198045 2637654 4396090 6594135 6847469 13188270 13694938 20542407 34237345 41084814 68474690 102712035 205424070 404000671 808001342 1212002013 2020003355 2424004026 4040006710 6060010065 12120020130