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123071120 = 2451538389
BaseRepresentation
bin1110101010111…
…10101010010000
322120120122211122
413111132222100
5223001233440
620113501412
73023041634
oct725365220
9276518748
10123071120
116351a177
1235271868
131c660a63
14124b8dc4
15ac107b5
hex755ea90

123071120 has 20 divisors (see below), whose sum is σ = 286140540. Its totient is φ = 49228416.

The previous prime is 123071119. The next prime is 123071197. The reversal of 123071120 is 21170321.

It can be written as a sum of positive squares in 2 ways, for example, as 28047616 + 95023504 = 5296^2 + 9748^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 769115 + ... + 769274.

It is an arithmetic number, because the mean of its divisors is an integer number (14307027).

Almost surely, 2123071120 is an apocalyptic number.

123071120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123071120 is an abundant number, since it is smaller than the sum of its proper divisors (163069420).

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

123071120 is a wasteful number, since it uses less digits than its factorization.

123071120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538402 (or 1538396 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 123071120 is about 11093.7423802791. The cubic root of 123071120 is about 497.4148166908.

The spelling of 123071120 in words is "one hundred twenty-three million, seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1538389 3076778 6153556 7691945 12307112 15383890 24614224 30767780 61535560 123071120