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12988250520 = 2335773211811
BaseRepresentation
bin11000001100010100…
…01111100110011000
31020112011200111012120
430012022033212120
5203044443004040
65544451141240
7636601210410
oct140612174630
936464614176
1012988250520
11556558a943
1226258a4820
1312bcb19a4b
148b2d8b640
155103d07d0
hex30628f998

12988250520 has 128 divisors (see below), whose sum is σ = 45141373440. Its totient is φ = 2928061440.

The previous prime is 12988250497. The next prime is 12988250521. The reversal of 12988250520 is 2505288921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12988250521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44586 + ... + 167225.

It is an arithmetic number, because the mean of its divisors is an integer number (352666980).

Almost surely, 212988250520 is an apocalyptic number.

12988250520 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 12988250520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22570686720).

12988250520 is an abundant number, since it is smaller than the sum of its proper divisors (32153122920).

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

12988250520 is a wasteful number, since it uses less digits than its factorization.

12988250520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211905 (or 211901 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 12988250520 in words is "twelve billion, nine hundred eighty-eight million, two hundred fifty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 73 84 105 120 140 146 168 210 219 280 292 365 420 438 511 584 730 840 876 1022 1095 1460 1533 1752 2044 2190 2555 2920 3066 4088 4380 5110 6132 7665 8760 10220 12264 15330 20440 30660 61320 211811 423622 635433 847244 1059055 1270866 1482677 1694488 2118110 2541732 2965354 3177165 4236220 4448031 5083464 5930708 6354330 7413385 8472440 8896062 11861416 12708660 14826770 15462203 17792124 22240155 25417320 29653540 30924406 35584248 44480310 46386609 59307080 61848812 77311015 88960620 92773218 108235421 123697624 154622030 177921240 185546436 216470842 231933045 309244060 324706263 371092872 432941684 463866090 541177105 618488120 649412526 865883368 927732180 1082354210 1298825052 1623531315 1855464360 2164708420 2597650104 3247062630 4329416840 6494125260 12988250520