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12069129270 = 23511219174991
BaseRepresentation
bin10110011110110000…
…00100110000110110
31011011010012021212210
423033120010300312
5144204144114040
65313335154250
7605040622542
oct131730046066
934133167783
1012069129270
115133788500
122409b15986
1311a4589c13
14826c94a22
154a9878480
hex2cf604c36

12069129270 has 96 divisors (see below), whose sum is σ = 33514467840. Its totient is φ = 2771841600.

The previous prime is 12069129263. The next prime is 12069129301. The reversal of 12069129270 is 7292196021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18526 + ... + 156465.

It is an arithmetic number, because the mean of its divisors is an integer number (349109040).

Almost surely, 212069129270 is an apocalyptic number.

12069129270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12069129270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16757233920).

12069129270 is an abundant number, since it is smaller than the sum of its proper divisors (21445338570).

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

12069129270 is a wasteful number, since it uses less digits than its factorization.

12069129270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175042 (or 175031 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 12069129270 in words is "twelve billion, sixty-nine million, one hundred twenty-nine thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 121 165 190 209 242 285 330 363 418 570 605 627 726 1045 1210 1254 1815 2090 2299 3135 3630 4598 6270 6897 11495 13794 22990 34485 68970 174991 349982 524973 874955 1049946 1749910 1924901 2624865 3324829 3849802 5249730 5774703 6649658 9624505 9974487 11549406 16624145 19249010 19948974 21173911 28873515 33248290 36573119 42347822 49872435 57747030 63521733 73146238 99744870 105869555 109719357 127043466 182865595 211739110 219438714 317608665 365731190 402304309 548596785 635217330 804608618 1097193570 1206912927 2011521545 2413825854 4023043090 6034564635 12069129270