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123050112 = 2731372339
BaseRepresentation
bin1110101010110…
…01100010000000
322120112121000120
413111121202000
5223000100422
620113220240
73022623453
oct725314200
9276477016
10123050112
1163505409
1235261680
131c654323
14124b149a
15ac0945c
hex7559880

123050112 has 64 divisors (see below), whose sum is σ = 329378400. Its totient is φ = 40699904.

The previous prime is 123050111. The next prime is 123050113. The reversal of 123050112 is 211050321.

It is an interprime number because it is at equal distance from previous prime (123050111) and next prime (123050113).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 123050091 and 123050100.

It is not an unprimeable number, because it can be changed into a prime (123050111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51439 + ... + 53777.

Almost surely, 2123050112 is an apocalyptic number.

123050112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164689200).

123050112 is an abundant number, since it is smaller than the sum of its proper divisors (206328288).

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

123050112 is a wasteful number, since it uses less digits than its factorization.

123050112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 123050112 is about 11092.7954997827. The cubic root of 123050112 is about 497.3865125008.

The spelling of 123050112 in words is "one hundred twenty-three million, fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 274 384 411 548 822 1096 1644 2192 2339 3288 4384 4678 6576 7017 8768 9356 13152 14034 17536 18712 26304 28068 37424 52608 56136 74848 112272 149696 224544 299392 320443 449088 640886 898176 961329 1281772 1922658 2563544 3845316 5127088 7690632 10254176 15381264 20508352 30762528 41016704 61525056 123050112