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12101000011120 = 245732072089043
BaseRepresentation
bin1011000000010111101111…
…0011101001110101110000
31120211211210111102021102001
42300011323303221311300
53041230322000323440
641423042254503344
72356161026646226
oct260057363516560
946754714367361
1012101000011120
113946007041079
121435308504b54
1369a172441587
142db997790b16
1515eb94d3eb9a
hexb017bce9d70

12101000011120 has 40 divisors (see below), whose sum is σ = 28520233601616. Its totient is φ = 4774093152768.

The previous prime is 12101000011109. The next prime is 12101000011123. The reversal of 12101000011120 is 2111000010121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12101000011097 and 12101000011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101000011123) 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 7 ways as a sum of consecutive naturals, for example, 1036038682 + ... + 1036050361.

Almost surely, 212101000011120 is an apocalyptic number.

12101000011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101000011120 is an abundant number, since it is smaller than the sum of its proper divisors (16419233590496).

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

12101000011120 is a wasteful number, since it uses less digits than its factorization.

12101000011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072089129 (or 2072089123 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12101000011120 its reverse (2111000010121), we get a palindrome (14212000021241).

Subtracting from 12101000011120 its reverse (2111000010121), we obtain a palindrome (9990000000999).

The spelling of 12101000011120 in words is "twelve trillion, one hundred one billion, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 2072089043 4144178086 8288356172 10360445215 16576712344 20720890430 33153424688 41441780860 82883561720 151262500139 165767123440 302525000278 605050000556 756312500695 1210100001112 1512625001390 2420200002224 3025250002780 6050500005560 12101000011120