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22120100011212 = 22376736171086637
BaseRepresentation
bin1010000011110001111001…
…01101000001110011001100
32220022122211210200001201020
411001320330231001303030
510344403431100324322
6115013500023114140
74442060461542150
oct501707455016314
986278753601636
1022120100011212
117059099871935
1225930348a2950
13c45bbb67b0a8
14566893449060
152855db9c205c
hex141e3cb41ccc

22120100011212 has 96 divisors (see below), whose sum is σ = 59883942117888. Its totient is φ = 6223972829184.

The previous prime is 22120100011123. The next prime is 22120100011213. The reversal of 22120100011212 is 21211000102122.

It is a super-2 number, since 2×221201000112122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22120100011191 and 22120100011200.

It is not an unprimeable number, because it can be changed into a prime (22120100011213) 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, 19813158 + ... + 20899794.

It is an arithmetic number, because the mean of its divisors is an integer number (623791063728).

Almost surely, 222120100011212 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 22120100011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29941971058944).

22120100011212 is an abundant number, since it is smaller than the sum of its proper divisors (37763842106676).

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

22120100011212 is a wasteful number, since it uses less digits than its factorization.

22120100011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090335 (or 1090333 counting only the distinct ones).

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

Adding to 22120100011212 its reverse (21211000102122), we get a palindrome (43331100113334).

The spelling of 22120100011212 in words is "twenty-two trillion, one hundred twenty billion, one hundred million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 3617 5628 7234 10851 14468 21702 25319 43404 50638 75957 101276 151914 242339 303828 484678 727017 969356 1086637 1454034 1696373 2173274 2908068 3259911 3392746 4346548 5089119 6519822 6785492 7606459 10178238 13039644 15212918 20356476 22819377 30425836 45638754 72804679 91277508 145609358 218414037 291218716 436828074 509632753 873656148 1019265506 1528898259 2038531012 3057796518 3930366029 6115593036 7860732058 11791098087 15721464116 23582196174 27512562203 47164392348 55025124406 82537686609 110050248812 165075373218 263334523943 330150746436 526669047886 790003571829 1053338095772 1580007143658 1843341667601 3160014287316 3686683335202 5530025002803 7373366670404 11060050005606 22120100011212