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12122021021120 = 265372769136973
BaseRepresentation
bin1011000001100110000011…
…0000011100010111000000
31120220212001111011020001222
42300121200300130113000
53042101344340133440
641440440220014212
72360533660410533
oct260314060342700
946825044136058
1012122021021120
113953a1393400a
1214393b4391368
1369c14250142a
142dc9cd4d2a1a
151604c553c2b5
hexb0660c1c5c0

12122021021120 has 112 divisors (see below), whose sum is σ = 29647585335648. Its totient is φ = 4717461565440.

The previous prime is 12122021021093. The next prime is 12122021021147. The reversal of 12122021021120 is 2112012022121.

It is an interprime number because it is at equal distance from previous prime (12122021021093) and next prime (12122021021147).

It is a congruent number.

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, 327842954 + ... + 327879926.

It is an arithmetic number, because the mean of its divisors is an integer number (264710583354).

Almost surely, 212122021021120 is an apocalyptic number.

12122021021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122021021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14823792667824).

12122021021120 is an abundant number, since it is smaller than the sum of its proper divisors (17525564314528).

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

12122021021120 is a wasteful number, since it uses less digits than its factorization.

12122021021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64718 (or 64708 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12122021021120 its reverse (2112012022121), we get a palindrome (14234033043241).

It can be divided in two parts, 1212202 and 1021120, that added together give a palindrome (2233322).

The spelling of 12122021021120 in words is "twelve trillion, one hundred twenty-two billion, twenty-one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2960 5920 11840 27691 36973 55382 73946 110764 138455 147892 184865 221528 276910 295784 369730 443056 553820 591568 739460 886112 1024567 1107640 1183136 1368001 1478920 1772224 2049134 2215280 2366272 2736002 2957840 4098268 4430560 5122835 5472004 5915680 6840005 8196536 8861120 10245670 10944008 11831360 13680010 16393072 20491340 21888016 27360020 32786144 40982680 43776032 54720040 65572288 81965360 87552064 109440080 163930720 218880160 327861440 437760320 1023819343 2047638686 4095277372 5119096715 8190554744 10238193430 16381109488 20476386860 32762218976 37881315691 40952773720 65524437952 75762631382 81905547440 151525262764 163811094880 189406578455 303050525528 327622189760 378813156910 606101051056 757626313820 1212202102112 1515252627640 2424404204224 3030505255280 6061010510560 12122021021120