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12242113121120 = 2551072417295853
BaseRepresentation
bin1011001000100101011011…
…0011011100101101100000
31121100100000220122000000112
42302021112303130231200
53101033321424333440
642011541002310452
72402314655413211
oct262112663345540
947310026560015
1012242113121120
11399a93a784233
12145872aab8428
136aa5707c452c
14304742b71408
151636a3636965
hexb2256cdcb60

12242113121120 has 96 divisors (see below), whose sum is σ = 29204467856928. Its totient is φ = 4849056882688.

The previous prime is 12242113121111. The next prime is 12242113121153. The reversal of 12242113121120 is 2112131124221.

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, 41231114 + ... + 41526966.

It is an arithmetic number, because the mean of its divisors is an integer number (304213206843).

Almost surely, 212242113121120 is an apocalyptic number.

12242113121120 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 12242113121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14602233928464).

12242113121120 is an abundant number, since it is smaller than the sum of its proper divisors (16962354735808).

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

12242113121120 is a wasteful number, since it uses less digits than its factorization.

12242113121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298392 (or 298384 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 12242113121120 its reverse (2112131124221), we get a palindrome (14354244245341).

The spelling of 12242113121120 in words is "twelve trillion, two hundred forty-two billion, one hundred thirteen million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1712 2140 2417 3424 4280 4834 8560 9668 12085 17120 19336 24170 38672 48340 77344 96680 193360 258619 295853 386720 517238 591706 1034476 1183412 1293095 1479265 2068952 2366824 2586190 2958530 4137904 4733648 5172380 5917060 8275808 9467296 10344760 11834120 20689520 23668240 31656271 41379040 47336480 63312542 126625084 158281355 253250168 316562710 506500336 633125420 715076701 1013000672 1266250840 1430153402 2532501680 2860306804 3575383505 5065003360 5720613608 7150767010 11441227216 14301534020 22882454432 28603068040 57206136080 76513207007 114412272160 153026414014 306052828028 382566035035 612105656056 765132070070 1224211312112 1530264140140 2448422624224 3060528280280 6121056560560 12242113121120