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12372122028 = 22371719145361
BaseRepresentation
bin10111000010110111…
…11001100110101100
31011221020022220210210
423201123321212230
5200314230401103
65403401302420
7615410205420
oct134133714654
934836286723
1012372122028
115279816442
122493494a10
131222294c86
14855206b80
154c6278e03
hex2e16f99ac

12372122028 has 96 divisors (see below), whose sum is σ = 35116720128. Its totient is φ = 3309465600.

The previous prime is 12372122003. The next prime is 12372122029. The reversal of 12372122028 is 82022127321.

It is a junction number, because it is equal to n+sod(n) for n = 12372121986 and 12372122004.

It is not an unprimeable number, because it can be changed into a prime (12372122029) by changing a digit.

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, 250068 + ... + 295428.

It is an arithmetic number, because the mean of its divisors is an integer number (365799168).

Almost surely, 212372122028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12372122028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17558360064).

12372122028 is an abundant number, since it is smaller than the sum of its proper divisors (22744598100).

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

12372122028 is a wasteful number, since it uses less digits than its factorization.

12372122028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45583 (or 45581 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 12372122028 its reverse (82022127321), we get a palindrome (94394249349).

The spelling of 12372122028 in words is "twelve billion, three hundred seventy-two million, one hundred twenty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 191 204 238 357 382 476 573 714 764 1146 1337 1428 2292 2674 3247 4011 5348 6494 8022 9741 12988 16044 19482 22729 38964 45361 45458 68187 90722 90916 136083 136374 181444 272166 272748 317527 544332 635054 771137 952581 1270108 1542274 1905162 2313411 3084548 3810324 4626822 5397959 8663951 9253644 10795918 16193877 17327902 21591836 25991853 32387754 34655804 51983706 60647657 64775508 103967412 121295314 147287167 181942971 242590628 294574334 363885942 441861501 589148668 727771884 883723002 1031010169 1767446004 2062020338 3093030507 4124040676 6186061014 12372122028