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22000012122112 = 21119739765059
BaseRepresentation
bin1010000000010010001101…
…11010000101100000000000
32212220011212200010020000221
411000021012322011200000
510340422011100401422
6114442355510552424
74430306544405253
oct500110672054000
985804780106027
1022000012122112
1170121753383a2
1225738bb668714
13c3779120084b
14560b4058509a
1528240de5a3c7
hex140246e85800

22000012122112 has 96 divisors (see below), whose sum is σ = 46367226360000. Its totient is φ = 10406943203328.

The previous prime is 22000012122097. The next prime is 22000012122149. The reversal of 22000012122112 is 21122121000022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28373439 + ... + 29138497.

It is an arithmetic number, because the mean of its divisors is an integer number (482991941250).

Almost surely, 222000012122112 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 22000012122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23183613180000).

22000012122112 is an abundant number, since it is smaller than the sum of its proper divisors (24367214237888).

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

22000012122112 is an equidigital number, since it uses as much as digits as its factorization.

22000012122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765839 (or 765819 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22000012122112 its reverse (21122121000022), we get a palindrome (43122133122134).

The spelling of 22000012122112 in words is "twenty-two trillion, twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 739 1024 1216 1478 2048 2432 2956 4864 5912 9728 11824 14041 19456 23648 28082 38912 47296 56164 94592 112328 189184 224656 378368 449312 756736 765059 898624 1513472 1530118 1797248 3060236 3594496 6120472 7188992 12240944 14377984 14536121 24481888 28755968 29072242 48963776 58144484 97927552 116288968 195855104 232577936 391710208 465155872 565378601 783420416 930311744 1130757202 1566840832 1860623488 2261514404 3721246976 4523028808 7442493952 9046057616 10742193419 14884987904 18092115232 21484386838 29769975808 36184230464 42968773676 72368460928 85937547352 144736921856 171875094704 289473843712 343750189408 578947687424 687500378816 1157895374848 1375000757632 2750001515264 5500003030528 11000006061056 22000012122112