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12011202420 = 2235724878389
BaseRepresentation
bin10110010111110110…
…00110011101110100
31011000002012022011220
423023323012131310
5144044331434140
65303505430340
7603435351600
oct131373063564
934002168156
1012011202420
115104013178
1223b263b3b0
131195587789
1481d2d6500
154a4734bd0
hex2cbec6774

12011202420 has 144 divisors (see below), whose sum is σ = 39207208320. Its totient is φ = 2739453696.

The previous prime is 12011202407. The next prime is 12011202421. The reversal of 12011202420 is 2420211021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011202420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011202421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1427586 + ... + 1435974.

It is an arithmetic number, because the mean of its divisors is an integer number (272272280).

Almost surely, 212011202420 is an apocalyptic number.

12011202420 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 12011202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19603604160).

12011202420 is an abundant number, since it is smaller than the sum of its proper divisors (27196005900).

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

12011202420 is a wasteful number, since it uses less digits than its factorization.

12011202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8902 (or 8893 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12011202420 its reverse (2420211021), we get a palindrome (14431413441).

The spelling of 12011202420 in words is "twelve billion, eleven million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 487 490 588 735 974 980 1461 1470 1948 2435 2922 2940 3409 4870 5844 6818 7305 8389 9740 10227 13636 14610 16778 17045 20454 23863 25167 29220 33556 34090 40908 41945 47726 50334 51135 58723 68180 71589 83890 95452 100668 102270 117446 119315 125835 143178 167780 176169 204540 234892 238630 251670 286356 293615 352338 357945 411061 477260 503340 587230 704676 715890 822122 880845 1174460 1233183 1431780 1644244 1761690 2055305 2466366 3523380 4085443 4110610 4932732 6165915 8170886 8221220 12256329 12331830 16341772 20427215 24512658 24663660 28598101 40854430 49025316 57196202 61281645 81708860 85794303 114392404 122563290 142990505 171588606 200186707 245126580 285981010 343177212 400373414 428971515 571962020 600560121 800746828 857943030 1000933535 1201120242 1715886060 2001867070 2402240484 3002800605 4003734140 6005601210 12011202420