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12001002221120 = 265113415999809
BaseRepresentation
bin1010111010100011001101…
…1110010110111001000000
31120111021200110221012201012
42232220303132112321000
53033111023032033440
641305103451100052
72346021010523663
oct256506336267100
946437613835635
1012001002221120
113907661985420
121419a5b441628
136908c7226a33
142d6bccb476da
1515c290ddee65
hexaea33796e40

12001002221120 has 112 divisors (see below), whose sum is σ = 31176555782400. Its totient is φ = 4363829329920.

The previous prime is 12001002221107. The next prime is 12001002221147. The reversal of 12001002221120 is 2112220010021.

12001002221120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120010022211202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12001002221095 and 12001002221104.

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, 120189776 + ... + 120289584.

It is an arithmetic number, because the mean of its divisors is an integer number (278362105200).

Almost surely, 212001002221120 is an apocalyptic number.

12001002221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001002221120 is an abundant number, since it is smaller than the sum of its proper divisors (19175553561280).

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

12001002221120 is a wasteful number, since it uses less digits than its factorization.

12001002221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133996 (or 133986 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12001002221120 its reverse (2112220010021), we get a palindrome (14113222231141).

The spelling of 12001002221120 in words is "twelve trillion, one billion, two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 34159 68318 99809 136636 170795 199618 273272 341590 375749 399236 499045 546544 683180 751498 798472 998090 1093088 1097899 1366360 1502996 1596944 1878745 1996180 2186176 2195798 2732720 3005992 3193888 3757490 3992360 4391596 5465440 5489495 6011984 6387776 7514980 7984720 8783192 10930880 10978990 12023968 15029960 15969440 17566384 21957980 24047936 30059920 31938880 35132768 43915960 60119840 70265536 87831920 120239680 175663840 351327680 3409375631 6818751262 13637502524 17046878155 27275005048 34093756310 37503131941 54550010096 68187512620 75006263882 109100020192 136375025240 150012527764 187515659705 218200040384 272750050480 300025055528 375031319410 545500100960 600050111056 750062638820 1091000201920 1200100222112 1500125277640 2400200444224 3000250555280 6000501110560 12001002221120