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1422120443112 = 233297220392431
BaseRepresentation
bin10100101100011100111…
…110111101110011101000
312000221202000111201211200
4110230130332331303220
5141300000313134422
63005151344324200
7204513320213565
oct24543476756350
95027660451750
101422120443112
114a9132a08636
121ab749313660
13a414a6a9675
144cb8c37d86c
1526ed51302ac
hex14b1cfbdce8

1422120443112 has 96 divisors (see below), whose sum is σ = 3893091646080. Its totient is φ = 468935101440.

The previous prime is 1422120443089. The next prime is 1422120443113. The reversal of 1422120443112 is 2113440212241.

1422120443112 is a `hidden beast` number, since 1 + 4 + 2 + 21 + 204 + 431 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1422120443113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15339537 + ... + 15431967.

It is an arithmetic number, because the mean of its divisors is an integer number (40553037980).

Almost surely, 21422120443112 is an apocalyptic number.

1422120443112 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 1422120443112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946545823040).

1422120443112 is an abundant number, since it is smaller than the sum of its proper divisors (2470971202968).

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

1422120443112 is a wasteful number, since it uses less digits than its factorization.

1422120443112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94743 (or 94736 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1422120443112 its reverse (2113440212241), we get a palindrome (3535560655353).

The spelling of 1422120443112 in words is "one trillion, four hundred twenty-two billion, one hundred twenty million, four hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2203 2328 3492 4406 6609 6984 8812 13218 17624 19827 26436 39654 52872 79308 92431 158616 184862 213691 277293 369724 427382 554586 641073 739448 831879 854764 1109172 1282146 1663758 1709528 1923219 2218344 2564292 3327516 3846438 5128584 6655032 7692876 8965807 15385752 17931614 26897421 35863228 53794842 71726456 80692263 107589684 161384526 203625493 215179368 322769052 407250986 610876479 645538104 814501972 1221752958 1629003944 1832629437 2443505916 3665258874 4887011832 7330517748 14661035496 19751672821 39503345642 59255018463 79006691284 118510036926 158013382568 177765055389 237020073852 355530110778 474040147704 711060221556 1422120443112