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12260180114116 = 221121591572
BaseRepresentation
bin1011001001101000101110…
…1011100011101011000100
31121102001200000212100011021
42302122023223203223010
53101332322102122431
642024125440520524
72403524456336164
oct262321353435304
947361600770137
1012260180114116
1139a7571063500
121460131620144
136ac18c87ca2c
1430557843a5a4
15163dae824b11
hexb268bae3ac4

12260180114116 has 27 divisors (see below), whose sum is σ = 23583263230317. Its totient is φ = 5572774128240.

The previous prime is 12260180114093. The next prime is 12260180114159. The reversal of 12260180114116 is 61141108106221.

The square root of 12260180114116 is 3501454.

It is a perfect power (a square), and thus also a powerful number.

12260180114116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4705905876100 + 7554274238016 = 2169310^2 + 2748504^2 .

It is a super-2 number, since 2×122601801141162 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76952410 + ... + 77111566.

Almost surely, 212260180114116 is an apocalyptic number.

12260180114116 is the 3501454-th square number.

It is an amenable number.

12260180114116 is a deficient number, since it is larger than the sum of its proper divisors (11323083116201).

12260180114116 is an frugal number, since it uses more digits than its factorization.

12260180114116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318340 (or 159170 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The spelling of 12260180114116 in words is "twelve trillion, two hundred sixty billion, one hundred eighty million, one hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 44 121 242 484 159157 318314 636628 1750727 3501454 7002908 19257997 38515994 77031988 25330950649 50661901298 101323802596 278640457139 557280914278 1114561828556 3065045028529 6130090057058 12260180114116