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22011200101212 = 22372114051306563
BaseRepresentation
bin1010000000100111000011…
…10000110101101101011100
32212221020202101021110010020
411000103201300311231130
510341112414211214322
6114451450012112140
74431154025561160
oct500234160655534
985836671243106
1022011200101212
117016996698713
122575b02465650
13c38855063b1a
145614c23c8ca0
1528286627c05c
hex1404e1c35b5c

22011200101212 has 96 divisors (see below), whose sum is σ = 58989466712064. Its totient is φ = 6257543544000.

The previous prime is 22011200101199. The next prime is 22011200101217. The reversal of 22011200101212 is 21210100211022.

It is a junction number, because it is equal to n+sod(n) for n = 22011200101191 and 22011200101200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011200101217) 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, 71646643 + ... + 71953205.

It is an arithmetic number, because the mean of its divisors is an integer number (614473611584).

Almost surely, 222011200101212 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 22011200101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29494733356032).

22011200101212 is an abundant number, since it is smaller than the sum of its proper divisors (36978266610852).

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

22011200101212 is a wasteful number, since it uses less digits than its factorization.

22011200101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310839 (or 310837 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22011200101212 its reverse (21210100211022), we get a palindrome (43221300312234).

The spelling of 22011200101212 in words is "twenty-two trillion, eleven billion, two hundred million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 211 422 633 844 1266 1477 2532 2954 4051 4431 5908 8102 8862 12153 16204 17724 24306 28357 48612 56714 85071 113428 170142 306563 340284 613126 854761 919689 1226252 1709522 1839378 2145941 2564283 3419044 3678756 4291882 5128566 5983327 6437823 8583764 10257132 11966654 12875646 17949981 23933308 25751292 35899962 64684793 71799924 129369586 194054379 258739172 388108758 452793551 776217516 905587102 1241886713 1358380653 1811174204 2483773426 2716761306 3725660139 4967546852 5433522612 7451320278 8693206991 14902640556 17386413982 26079620973 34772827964 52159241946 104318483892 262038096443 524076192886 786114289329 1048152385772 1572228578658 1834266675101 3144457157316 3668533350202 5502800025303 7337066700404 11005600050606 22011200101212