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12120211001112 = 233823639795923
BaseRepresentation
bin1011000001011111010011…
…0111110000111100011000
31120220200101100021200101220
42300113310313300330120
53042034143004013422
641435540441012040
72360441061451344
oct260276467607430
946820340250356
1012120211001112
113953175156205
121438b8a184020
1369bc14513686
142dc89ad6c624
1516041b6a4e5c
hexb05f4df0f18

12120211001112 has 64 divisors (see below), whose sum is σ = 30342403418880. Its totient is φ = 4034488528512.

The previous prime is 12120211001111. The next prime is 12120211001179. The reversal of 12120211001112 is 21110011202121.

It is a happy number.

It is a super-2 number, since 2×121202110011122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12120211001091 and 12120211001100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120211001111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126305583 + ... + 126401505.

It is an arithmetic number, because the mean of its divisors is an integer number (474100053420).

Almost surely, 212120211001112 is an apocalyptic number.

12120211001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12120211001112 is an abundant number, since it is smaller than the sum of its proper divisors (18222192417768).

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

12120211001112 is a wasteful number, since it uses less digits than its factorization.

12120211001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103152 (or 103148 counting only the distinct ones).

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

Adding to 12120211001112 its reverse (21110011202121), we get a palindrome (33230222203233).

The spelling of 12120211001112 in words is "twelve trillion, one hundred twenty billion, two hundred eleven million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 823 1646 2469 3292 4938 6397 6584 9876 12794 19191 19752 25588 38382 51176 76764 95923 153528 191846 287769 383692 575538 767384 1151076 2302152 5264731 10529462 15794193 21058924 31588386 42117848 63176772 78944629 126353544 157889258 236833887 315778516 473667774 613619431 631557032 947335548 1227238862 1840858293 1894671096 2454477724 3681716586 4908955448 7363433172 14726866344 505008791713 1010017583426 1515026375139 2020035166852 3030052750278 4040070333704 6060105500556 12120211001112