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12201012011120 = 2451011510026239
BaseRepresentation
bin1011000110001100010011…
…1111001010000001110000
31121012101221111122021120012
42301203010333022001300
53044400133033323440
641541022331034052
72366331310634162
oct261430477120160
947171844567505
1012201012011120
113984469222a29
12145077a29b928
136a6720592cba
14302764256932
1516259a149e65
hexb18c4fca070

12201012011120 has 40 divisors (see below), whose sum is σ = 28648217825280. Its totient is φ = 4832083961600.

The previous prime is 12201012011107. The next prime is 12201012011137. The reversal of 12201012011120 is 2111021010221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12201012011095 and 12201012011104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 755005040 + ... + 755021199.

It is an arithmetic number, because the mean of its divisors is an integer number (716205445632).

Almost surely, 212201012011120 is an apocalyptic number.

12201012011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201012011120 is an abundant number, since it is smaller than the sum of its proper divisors (16447205814160).

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

12201012011120 is a wasteful number, since it uses less digits than its factorization.

12201012011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510026353 (or 1510026347 counting only the distinct ones).

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

Adding to 12201012011120 its reverse (2111021010221), we get a palindrome (14312033021341).

The spelling of 12201012011120 in words is "twelve trillion, two hundred one billion, twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 1510026239 3020052478 6040104956 7550131195 12080209912 15100262390 24160419824 30200524780 60401049560 120802099120 152512650139 305025300278 610050600556 762563250695 1220101201112 1525126501390 2440202402224 3050253002780 6100506005560 12201012011120