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120123020 = 225172315361
BaseRepresentation
bin1110010100011…
…10111010001100
322101000212210202
413022032322030
5221222414040
615530353032
72656012613
oct712167214
9271025722
10120123020
1161896226
123428b778
131bb6ac14
1411d4c87a
15a82c015
hex728ee8c

120123020 has 48 divisors (see below), whose sum is σ = 278728128. Its totient is φ = 43253760.

The previous prime is 120123019. The next prime is 120123041. The reversal of 120123020 is 20321021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120122992 and 120123010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140 + ... + 15500.

It is an arithmetic number, because the mean of its divisors is an integer number (5806836).

Almost surely, 2120123020 is an apocalyptic number.

120123020 is a gapful number since it is divisible by the number (10) 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 120123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139364064).

120123020 is an abundant number, since it is smaller than the sum of its proper divisors (158605108).

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

120123020 is a wasteful number, since it uses less digits than its factorization.

120123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15410 (or 15408 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 120123020 is about 10960.0647808304. The cubic root of 120123020 is about 493.4109091951.

Adding to 120123020 its reverse (20321021), we get a palindrome (140444041).

The spelling of 120123020 in words is "one hundred twenty million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7820 15361 30722 61444 76805 153610 261137 307220 353303 522274 706606 1044548 1305685 1413212 1766515 2611370 3533030 5222740 6006151 7066060 12012302 24024604 30030755 60061510 120123020