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12200234020 = 225131912911913
BaseRepresentation
bin10110101110011000…
…01100110000100100
31011111020220002210021
423113030030300210
5144441224442040
65334341204524
7611222164252
oct132714146044
934436802707
1012200234020
1151a0794437
122445a00744
1311c57a14b0
1483a4615d2
154b612424a
hex2d730cc24

12200234020 has 96 divisors (see below), whose sum is σ = 29081162880. Its totient is φ = 4262077440.

The previous prime is 12200233979. The next prime is 12200234023. The reversal of 12200234020 is 2043200221.

It is a junction number, because it is equal to n+sod(n) for n = 12200233985 and 12200234003.

It is not an unprimeable number, because it can be changed into a prime (12200234023) 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, 6376584 + ... + 6378496.

It is an arithmetic number, because the mean of its divisors is an integer number (302928780).

Almost surely, 212200234020 is an apocalyptic number.

12200234020 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 12200234020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14540581440).

12200234020 is an abundant number, since it is smaller than the sum of its proper divisors (16880928860).

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

12200234020 is a wasteful number, since it uses less digits than its factorization.

12200234020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12200234020 its reverse (2043200221), we get a palindrome (14243434241).

The spelling of 12200234020 in words is "twelve billion, two hundred million, two hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 1291 1913 2470 2582 3826 4940 5164 6455 7652 9565 12910 16783 19130 24529 24869 25820 33566 36347 38260 49058 49738 67132 72694 83915 98116 99476 122645 124345 145388 167830 181735 245290 248690 318877 335660 363470 472511 490580 497380 637754 726940 945022 1275508 1594385 1890044 2362555 2469683 3188770 4725110 4939366 6377540 9450220 9878732 12348415 24696830 32105879 46923977 49393660 64211758 93847954 128423516 160529395 187695908 234619885 321058790 469239770 610011701 642117580 938479540 1220023402 2440046804 3050058505 6100117010 12200234020