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123312020 = 225134710091
BaseRepresentation
bin1110101100110…
…01011110010100
322121000220021212
413112121132110
5223031441040
620123000552
73025064156
oct726313624
9277026255
10123312020
1163674167
1235369158
131c7165c0
141253cad6
15ac5bd65
hex7599794

123312020 has 48 divisors (see below), whose sum is σ = 284836608. Its totient is φ = 44557440.

The previous prime is 123312001. The next prime is 123312023. The reversal of 123312020 is 20213321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123311986 and 123312004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123312023) 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, 7175 + ... + 17265.

It is an arithmetic number, because the mean of its divisors is an integer number (5934096).

Almost surely, 2123312020 is an apocalyptic number.

123312020 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 123312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142418304).

123312020 is an abundant number, since it is smaller than the sum of its proper divisors (161524588).

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

123312020 is a wasteful number, since it uses less digits than its factorization.

123312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10160 (or 10158 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 123312020 is about 11104.5945446018. The cubic root of 123312020 is about 497.7391525458.

Adding to 123312020 its reverse (20213321), we get a palindrome (143525341).

The spelling of 123312020 in words is "one hundred twenty-three million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 1222 2444 3055 6110 10091 12220 20182 40364 50455 100910 131183 201820 262366 474277 524732 655915 948554 1311830 1897108 2371385 2623660 4742770 6165601 9485540 12331202 24662404 30828005 61656010 123312020