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12204224010 = 23251117725147
BaseRepresentation
bin10110101110110110…
…11010111000001010
31011111112101211000200
423113123122320022
5144443240132020
65335002513030
7611301123006
oct132733327012
934445354020
1012204224010
1151a2a6a150
122447205776
1311c656a634
1483abbd706
154b6661590
hex2d76dae0a

12204224010 has 96 divisors (see below), whose sum is σ = 36651880512. Its totient is φ = 2784560640.

The previous prime is 12204223949. The next prime is 12204224017. The reversal of 12204224010 is 1042240221.

12204224010 is a `hidden beast` number, since 1 + 220 + 42 + 2 + 401 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12204224017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345744 + ... + 379403.

It is an arithmetic number, because the mean of its divisors is an integer number (381790422).

Almost surely, 212204224010 is an apocalyptic number.

12204224010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12204224010 is an abundant number, since it is smaller than the sum of its proper divisors (24447656502).

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

12204224010 is a wasteful number, since it uses less digits than its factorization.

12204224010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725188 (or 725185 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12204224010 its reverse (1042240221), we get a palindrome (13246464231).

The spelling of 12204224010 in words is "twelve billion, two hundred four million, two hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 255 306 330 374 495 510 561 765 935 990 1122 1530 1683 1870 2805 3366 5610 8415 16830 725147 1450294 2175441 3625735 4350882 6526323 7251470 7976617 10877205 12327499 13052646 15953234 21754410 23929851 24654998 32631615 36982497 39883085 47859702 61637495 65263230 71789553 73964994 79766170 110947491 119649255 123274990 135602489 143579106 184912485 221894982 239298510 271204978 358947765 369824970 406807467 554737455 678012445 717895530 813614934 1109474910 1220422401 1356024890 2034037335 2440844802 4068074670 6102112005 12204224010