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2123012120 = 235192233631
BaseRepresentation
bin111111010001010…
…1001100000011000
312110221211012010112
41332202221200120
513321442341440
6550355303452
7103416206465
oct17642514030
95427735115
102123012120
1199a426479
124b2baab88
1327aab72b8
14161d5a66c
15c65b0965
hex7e8a9818

2123012120 has 96 divisors (see below), whose sum is σ = 5071079520. Its totient is φ = 799787520.

The previous prime is 2123012119. The next prime is 2123012147. The reversal of 2123012120 is 212103212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2123012095 and 2123012104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3364205 + ... + 3364835.

It is an arithmetic number, because the mean of its divisors is an integer number (52823745).

Almost surely, 22123012120 is an apocalyptic number.

2123012120 is a gapful number since it is divisible by the number (20) 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 2123012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535539760).

2123012120 is an abundant number, since it is smaller than the sum of its proper divisors (2948067400).

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

2123012120 is a wasteful number, since it uses less digits than its factorization.

2123012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2123012120 is about 46076.1556556100. The cubic root of 2123012120 is about 1285.2397761969.

Adding to 2123012120 its reverse (212103212), we get a palindrome (2335115332).

The spelling of 2123012120 in words is "two billion, one hundred twenty-three million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 233 361 380 466 631 722 760 932 1165 1262 1444 1805 1864 2330 2524 2888 3155 3610 4427 4660 5048 6310 7220 8854 9320 11989 12620 14440 17708 22135 23978 25240 35416 44270 47956 59945 84113 88540 95912 119890 147023 168226 177080 227791 239780 294046 336452 420565 455582 479560 588092 672904 735115 841130 911164 1138955 1176184 1470230 1682260 1822328 2277910 2793437 2940460 3364520 4555820 5586874 5880920 9111640 11173748 13967185 22347496 27934370 53075303 55868740 106150606 111737480 212301212 265376515 424602424 530753030 1061506060 2123012120