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12011101202112 = 263271123075551
BaseRepresentation
bin1010111011001000110101…
…1010111010011011000000
31120112020202021221121020020
42232302031122322123000
53033242213401431422
641313453531213440
72346526166455155
oct256621532723300
946466667847206
1012011101202112
113910974555301
12141b9b95a7280
1369184658bc2c
142d74aa0b422c
1515c68280095c
hexaec8d6ba6c0

12011101202112 has 56 divisors (see below), whose sum is σ = 31791095688192. Its totient is φ = 4002223392000.

The previous prime is 12011101202101. The next prime is 12011101202203. The reversal of 12011101202112 is 21120210111021.

It is a happy number.

12011101202112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12011101202091 and 12011101202100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11017264 + ... + 12058287.

Almost surely, 212011101202112 is an apocalyptic number.

12011101202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12011101202112 is an abundant number, since it is smaller than the sum of its proper divisors (19779994486080).

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

12011101202112 is a wasteful number, since it uses less digits than its factorization.

12011101202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23078277 (or 23078267 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12011101202112 its reverse (21120210111021), we get a palindrome (33131311313133).

The spelling of 12011101202112 in words is "twelve trillion, eleven billion, one hundred one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2711 5422 8133 10844 16266 21688 32532 43376 65064 86752 130128 173504 260256 520512 23075551 46151102 69226653 92302204 138453306 184604408 276906612 369208816 553813224 738417632 1107626448 1476835264 2215252896 4430505792 62557818761 125115637522 187673456283 250231275044 375346912566 500462550088 750693825132 1000925100176 1501387650264 2001850200352 3002775300528 4003700400704 6005550601056 12011101202112