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12120114113 = 173159338783
BaseRepresentation
bin10110100100110101…
…00100001111000001
31011021200010120221022
423102122210033001
5144310222122423
65322400035225
7606230161442
oct132232441701
934250116838
1012120114113
11515a541138
122423002b15
1311b1ccb673
1482d9672c9
154ae099dc8
hex2d26a43c1

12120114113 has 16 divisors (see below), whose sum is σ = 13269712896. Its totient is φ = 11020293120.

The previous prime is 12120114107. The next prime is 12120114119. The reversal of 12120114113 is 31141102121.

It is an interprime number because it is at equal distance from previous prime (12120114107) and next prime (12120114119).

It is a cyclic number.

It is not a de Polignac number, because 12120114113 - 214 = 12120097729 is a prime.

It is a super-2 number, since 2×121201141132 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12120114091 and 12120114100.

It is not an unprimeable number, because it can be changed into a prime (12120114119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293120 + ... + 331902.

It is an arithmetic number, because the mean of its divisors is an integer number (829357056).

Almost surely, 212120114113 is an apocalyptic number.

It is an amenable number.

12120114113 is a deficient number, since it is larger than the sum of its proper divisors (1149598783).

12120114113 is a wasteful number, since it uses less digits than its factorization.

12120114113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39424.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 12120114113 its reverse (31141102121), we get a palindrome (43261216234).

The spelling of 12120114113 in words is "twelve billion, one hundred twenty million, one hundred fourteen thousand, one hundred thirteen".

Divisors: 1 17 31 527 593 10081 18383 38783 312511 659311 1202273 20438641 22998319 390971423 712947889 12120114113