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12250130761000 = 2353111931576721
BaseRepresentation
bin1011001001000011010010…
…1100010100010100101000
31121101002201200020022021201
42302100310230110110220
53101201231433323000
642015344332213544
72403020442262456
oct262206454242450
947332650208251
1012250130761000
1139a32844aa7a0
12145a1a800a2b4
136ab24a8a2742
14304ca390b9d6
151639c246896a
hexb2434b14528

12250130761000 has 128 divisors (see below), whose sum is σ = 31287491464320. Its totient is φ = 4452278400000.

The previous prime is 12250130760983. The next prime is 12250130761003. The reversal of 12250130761000 is 16703105221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12250130761000.

It is not an unprimeable number, because it can be changed into a prime (12250130761003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20952640 + ... + 21529360.

It is an arithmetic number, because the mean of its divisors is an integer number (244433527065).

Almost surely, 212250130761000 is an apocalyptic number.

12250130761000 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 12250130761000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15643745732160).

12250130761000 is an abundant number, since it is smaller than the sum of its proper divisors (19037360703320).

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

12250130761000 is a wasteful number, since it uses less digits than its factorization.

12250130761000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578684 (or 578670 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 12250130761000 its reverse (16703105221), we get a palindrome (12266833866221).

The spelling of 12250130761000 in words is "twelve trillion, two hundred fifty billion, one hundred thirty million, seven hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 1931 2200 2750 3862 5500 7724 9655 11000 15448 19310 21241 38620 42482 48275 77240 84964 96550 106205 169928 193100 212410 241375 386200 424820 482750 531025 576721 849640 965500 1062050 1153442 1931000 2124100 2306884 2655125 2883605 4248200 4613768 5310250 5767210 6343931 10620500 11534420 12687862 14418025 21241000 23068840 25375724 28836050 31719655 50751448 57672100 63439310 72090125 115344200 126878620 144180250 158598275 253757240 288360500 317196550 576721000 634393100 792991375 1113648251 1268786200 1585982750 2227296502 3171965500 4454593004 5568241255 6343931000 8909186008 11136482510 12250130761 22272965020 24500261522 27841206275 44545930040 49000523044 55682412550 61250653805 98001046088 111364825100 122501307610 139206031375 222729650200 245002615220 278412062750 306253269025 490005230440 556824125500 612506538050 1113648251000 1225013076100 1531266345125 2450026152200 3062532690250 6125065380500 12250130761000