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12122011001120 = 255619733316691
BaseRepresentation
bin1011000001100110000000…
…1010001110000100100000
31120220212000210022011012212
42300121200022032010200
53042101334304013440
641440435221141252
72360533506265646
oct260314012160440
946825023264185
1012122011001120
113953a0920a919
1214393b0b5a828
1369c140403737
142dc9cc045196
151604c470d465
hexb066028e120

12122011001120 has 96 divisors (see below), whose sum is σ = 28690146838080. Its totient is φ = 4840020956160.

The previous prime is 12122011001071. The next prime is 12122011001131. The reversal of 12122011001120 is 2110011022121.

It is a super-2 number, since 2×121220110011202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122011001095 and 12122011001104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726251975 + ... + 726268665.

It is an arithmetic number, because the mean of its divisors is an integer number (298855696230).

Almost surely, 212122011001120 is an apocalyptic number.

12122011001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122011001120 is an abundant number, since it is smaller than the sum of its proper divisors (16568135836960).

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

12122011001120 is a wasteful number, since it uses less digits than its factorization.

12122011001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24658 (or 24650 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12122011001120 its reverse (2110011022121), we get a palindrome (14232022023241).

The spelling of 12122011001120 in words is "twelve trillion, one hundred twenty-two billion, eleven million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 619 1238 2476 3095 4952 6190 7333 9904 12380 14666 16691 19808 24760 29332 33382 36665 49520 58664 66764 73330 83455 99040 117328 133528 146660 166910 234656 267056 293320 333820 534112 586640 667640 1173280 1335280 2670560 4539127 9078254 10331729 18156508 20663458 22695635 36313016 41326916 45391270 51658645 72626032 82653832 90782540 103317290 122395103 145252064 165307664 181565080 206634580 244790206 330615328 363130160 413269160 489580412 611975515 726260320 826538320 979160824 1223951030 1653076640 1958321648 2447902060 3916643296 4895804120 9791608240 19583216480 75762568757 151525137514 303050275028 378812843785 606100550056 757625687570 1212201100112 1515251375140 2424402200224 3030502750280 6061005500560 12122011001120