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12350022120 = 23325139246803
BaseRepresentation
bin10111000000001111…
…00110000111101000
31011212200202010102200
423200013212013220
5200243101201440
65401251500200
7615021312252
oct134007460750
934780663380
1012350022120
1152682a1457
122487bb7660
13121a827ac7
148522d2cd2
154c4360c30
hex2e01e61e8

12350022120 has 96 divisors (see below), whose sum is σ = 40426495200. Its totient is φ = 3269632896.

The previous prime is 12350022053. The next prime is 12350022143. The reversal of 12350022120 is 2122005321.

12350022120 is a `hidden beast` number, since 1 + 23 + 500 + 22 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12350022093 and 12350022102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73362 + ... + 173441.

It is an arithmetic number, because the mean of its divisors is an integer number (421109325).

Almost surely, 212350022120 is an apocalyptic number.

12350022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12350022120 is an abundant number, since it is smaller than the sum of its proper divisors (28076473080).

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

12350022120 is a wasteful number, since it uses less digits than its factorization.

12350022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246959 (or 246952 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12350022120 its reverse (2122005321), we get a palindrome (14472027441).

The spelling of 12350022120 in words is "twelve billion, three hundred fifty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 1112 1251 1390 1668 2085 2502 2780 3336 4170 5004 5560 6255 8340 10008 12510 16680 25020 50040 246803 493606 740409 987212 1234015 1480818 1974424 2221227 2468030 2961636 3702045 4442454 4936060 5923272 7404090 8884908 9872120 11106135 14808180 17769816 22212270 29616360 34305617 44424540 68611234 88849080 102916851 137222468 171528085 205833702 274444936 308750553 343056170 411667404 514584255 617501106 686112340 823334808 1029168510 1235002212 1372224680 1543752765 2058337020 2470004424 3087505530 4116674040 6175011060 12350022120