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1001211122112 = 26343121270727
BaseRepresentation
bin11101001000111001101…
…01010101000111000000
310112201022010100210200120
432210130311111013000
5112400440021401422
62043541113020240
7132222642056205
oct16443465250700
93481263323616
101001211122112
1135667a638963
1214205b6b4680
137354c185546
143665d22dcac
151b09cc4c45c
hexe91cd551c0

1001211122112 has 56 divisors (see below), whose sum is σ = 2710643312256. Its totient is φ = 325975711488.

The previous prime is 1001211122033. The next prime is 1001211122167. The reversal of 1001211122112 is 2112211121001.

It is a happy number.

It is a super-2 number, since 2×10012111221122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001211122091 and 1001211122100.

It is a congruent number.

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, 60627108 + ... + 60643619.

Almost surely, 21001211122112 is an apocalyptic number.

1001211122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001211122112 is an abundant number, since it is smaller than the sum of its proper divisors (1709432190144).

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

1001211122112 is a wasteful number, since it uses less digits than its factorization.

1001211122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121270785 (or 121270775 counting only the distinct ones).

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

Adding to 1001211122112 its reverse (2112211121001), we get a palindrome (3113422243113).

The spelling of 1001211122112 in words is "one trillion, one billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 8256 121270727 242541454 363812181 485082908 727624362 970165816 1455248724 1940331632 2910497448 3880663264 5214641261 5820994896 7761326528 10429282522 11641989792 15643923783 20858565044 23283979584 31287847566 41717130088 62575695132 83434260176 125151390264 166868520352 250302780528 333737040704 500605561056 1001211122112