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12001200211111 = 314132411291331
BaseRepresentation
bin1010111010100011111101…
…0001101000010010100111
31120111022012021111010220211
42232220333101220102213
53033111424223223421
641305135242440251
72346025633440166
oct256507721502247
946438167433824
1012001200211111
113907753715211
121419ab5803087
13690929259187
142d6c0b1653dd
1515c2a349d9e1
hexaea3f4684a7

12001200211111 has 16 divisors (see below), whose sum is σ = 12690925341696. Its totient is φ = 11330406360000.

The previous prime is 12001200211093. The next prime is 12001200211129. The reversal of 12001200211111 is 11111200210021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12001200211093) and next prime (12001200211129).

It is a cyclic number.

It is not a de Polignac number, because 12001200211111 - 219 = 12001199686823 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001200211091 and 12001200211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001200211181) 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, 41048716 + ... + 41340046.

It is an arithmetic number, because the mean of its divisors is an integer number (793182833856).

Almost surely, 212001200211111 is an apocalyptic number.

12001200211111 is a deficient number, since it is larger than the sum of its proper divisors (689725130585).

12001200211111 is a wasteful number, since it uses less digits than its factorization.

12001200211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323814.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12001200211111 its reverse (11111200210021), we get a palindrome (23112400421132).

The spelling of 12001200211111 in words is "twelve trillion, one billion, two hundred million, two hundred eleven thousand, one hundred eleven".

Divisors: 1 31 41 1271 32411 291331 1004741 1328851 9031261 11944571 41194381 370281701 9442329041 292712200271 387135490681 12001200211111