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12422415192 = 23311972272137
BaseRepresentation
bin10111001000110111…
…10000001101011000
31012001201222002001120
423210123300031120
5200420114241232
65412355245240
7616560533625
oct134433601530
935051862046
1012422415192
1152a5147440
1224a82a9820
13122c823945
1485bb7934c
154ca8b092c
hex2e46f0358

12422415192 has 128 divisors (see below), whose sum is σ = 34395459840. Its totient is φ = 3707412480.

The previous prime is 12422415191. The next prime is 12422415221. The reversal of 12422415192 is 29151422421.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422415191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5811948 + ... + 5814084.

It is an arithmetic number, because the mean of its divisors is an integer number (268714530).

Almost surely, 212422415192 is an apocalyptic number.

12422415192 is a gapful number since it is divisible by the number (12) 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 12422415192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17197729920).

12422415192 is an abundant number, since it is smaller than the sum of its proper divisors (21973044648).

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

12422415192 is a wasteful number, since it uses less digits than its factorization.

12422415192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2477 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The spelling of 12422415192 in words is "twelve billion, four hundred twenty-two million, four hundred fifteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 132 194 227 264 291 388 454 582 681 776 908 1067 1164 1362 1816 2134 2137 2328 2497 2724 3201 4268 4274 4994 5448 6402 6411 7491 8536 8548 9988 12804 12822 14982 17096 19976 22019 23507 25608 25644 29964 44038 47014 51288 59928 66057 70521 88076 94028 132114 141042 176152 188056 207289 242209 264228 282084 414578 484418 485099 528456 564168 621867 726627 829156 968836 970198 1243734 1453254 1455297 1658312 1937672 1940396 2280179 2487468 2906508 2910594 3880792 4560358 4974936 5336089 5813016 5821188 6840537 9120716 10672178 11642376 13681074 16008267 18241432 21344356 27362148 32016534 42688712 47054603 54724296 64033068 94109206 128066136 141163809 188218412 282327618 376436824 517600633 564655236 1035201266 1129310472 1552801899 2070402532 3105603798 4140805064 6211207596 12422415192