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12011102012120 = 2354711821540469
BaseRepresentation
bin1010111011001000110101…
…1110000000001011011000
31120112020202100110202100112
42232302031132000023120
53033242214103341440
641313454000423452
72346526206400541
oct256621536001330
946466670422315
1012011102012120
113910974a58932
12141b9b9917b88
136918467b3823
142d74aa2454c8
1515c682910965
hexaec8d7802d8

12011102012120 has 64 divisors (see below), whose sum is σ = 27602364988800. Its totient is φ = 4701812175360.

The previous prime is 12011102012101. The next prime is 12011102012197. The reversal of 12011102012120 is 2121020111021.

It is a super-2 number, since 2×120111020121202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12011102012095 and 12011102012104.

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, 21953246 + ... + 22493714.

It is an arithmetic number, because the mean of its divisors is an integer number (431286952950).

Almost surely, 212011102012120 is an apocalyptic number.

12011102012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011102012120 is an abundant number, since it is smaller than the sum of its proper divisors (15591262976680).

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

12011102012120 is a wasteful number, since it uses less digits than its factorization.

12011102012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552348 (or 552344 counting only the distinct ones).

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

Adding to 12011102012120 its reverse (2121020111021), we get a palindrome (14132122123141).

The spelling of 12011102012120 in words is "twelve trillion, eleven billion, one hundred two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 11821 23642 47284 59105 94568 118210 236420 472840 540469 555587 1080938 1111174 2161876 2222348 2702345 2777935 4323752 4444696 5404690 5555870 10809380 11111740 21618760 22223480 25402043 50804086 101608172 127010215 203216344 254020430 508040860 1016081720 6388884049 12777768098 25555536196 31944420245 51111072392 63888840490 127777680980 255555361960 300277550303 600555100606 1201110201212 1501387751515 2402220402424 3002775503030 6005551006060 12011102012120