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120122130122412 = 223118910795559817
BaseRepresentation
bin11011010100000000011100…
…111001010100011010101100
3120202022120012210011002001120
4123110000130321110122230
5111221040110302404122
61103251202245140540
734205352236122035
oct3324003471243254
9522276183132046
10120122130122412
1135302566970880
12115805823ba750
135204611a1a7b2
142193d29263a8c
15dd49bb62375c
hex6d401ce546ac

120122130122412 has 96 divisors (see below), whose sum is σ = 312090720802560. Its totient is φ = 35655278545920.

The previous prime is 120122130122383. The next prime is 120122130122413. The reversal of 120122130122412 is 214221031221021.

It is a super-2 number, since 2×1201221301224122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120122130122413) 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, 46522873 + ... + 49036944.

It is an arithmetic number, because the mean of its divisors is an integer number (3250945008360).

Almost surely, 2120122130122412 is an apocalyptic number.

120122130122412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120122130122412 is an abundant number, since it is smaller than the sum of its proper divisors (191968590680148).

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

120122130122412 is a wasteful number, since it uses less digits than its factorization.

120122130122412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95560031 (or 95560029 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 120122130122412 its reverse (214221031221021), we get a palindrome (334343161343433).

The spelling of 120122130122412 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred thirty million, one hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 107 132 178 214 267 321 356 428 534 642 979 1068 1177 1284 1958 2354 2937 3531 3916 4708 5874 7062 9523 11748 14124 19046 28569 38092 57138 104753 114276 209506 314259 419012 628518 1257036 95559817 191119634 286679451 382239268 573358902 1051157987 1146717804 2102315974 3153473961 4204631948 6306947922 8504823713 10224900419 12613895844 17009647426 20449800838 25514471139 30674701257 34019294852 40899601676 51028942278 61349402514 93553060843 102057884556 112473904609 122698805028 187106121686 224947809218 280659182529 337421713827 374212243372 449895618436 561318365058 674843427654 910016137291 1122636730116 1349686855308 1820032274582 2730048411873 3640064549164 5460096823746 10010177510201 10920193647492 20020355020402 30030532530603 40040710040804 60061065061206 120122130122412