Search a number
-
+
12150211400 = 2352197359859
BaseRepresentation
bin10110101000011010…
…11000001101001000
31011100202202200122122
423110031120031020
5144340423231100
65325353110412
7610044043565
oct132415301510
934322680578
1012150211400
115175528728
1224310b8408
1311b8308a02
1483395d86c
154b1a42985
hex2d4358348

12150211400 has 96 divisors (see below), whose sum is σ = 28504872000. Its totient is φ = 4816331520.

The previous prime is 12150211399. The next prime is 12150211421. The reversal of 12150211400 is 411205121.

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, 14144171 + ... + 14145029.

It is an arithmetic number, because the mean of its divisors is an integer number (296925750).

Almost surely, 212150211400 is an apocalyptic number.

12150211400 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 12150211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14252436000).

12150211400 is an abundant number, since it is smaller than the sum of its proper divisors (16354660600).

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

12150211400 is a wasteful number, since it uses less digits than its factorization.

12150211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 12150211400 its reverse (411205121), we get a palindrome (12561416521).

The spelling of 12150211400 in words is "twelve billion, one hundred fifty million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 197 200 359 394 718 788 859 985 1436 1576 1718 1795 1970 2872 3436 3590 3940 4295 4925 6872 7180 7880 8590 8975 9850 14360 17180 17950 19700 21475 34360 35900 39400 42950 70723 71800 85900 141446 169223 171800 282892 308381 338446 353615 565784 616762 676892 707230 846115 1233524 1353784 1414460 1541905 1692230 1768075 2467048 2828920 3083810 3384460 3536150 4230575 6167620 6768920 7072300 7709525 8461150 12335240 14144600 15419050 16922300 30838100 33844600 60751057 61676200 121502114 243004228 303755285 486008456 607510570 1215021140 1518776425 2430042280 3037552850 6075105700 12150211400