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12224420352 = 293219913331
BaseRepresentation
bin10110110001010000…
…11101101000000000
31011112221101220012100
423120220131220000
5200013422422402
65341003430400
7611634600324
oct133050355000
934487356170
1012224420352
115203403a41
122451b25400
1311ca7bc231
1483d759984
154b830071c
hex2d8a1da00

12224420352 has 120 divisors (see below), whose sum is σ = 35460453600. Its totient is φ = 4054026240.

The previous prime is 12224420347. The next prime is 12224420357. The reversal of 12224420352 is 25302442221.

12224420352 is a `hidden beast` number, since 12 + 224 + 420 + 3 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12224420347) and next prime (12224420357).

It is not an unprimeable number, because it can be changed into a prime (12224420357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 910327 + ... + 923657.

It is an arithmetic number, because the mean of its divisors is an integer number (295503780).

Almost surely, 212224420352 is an apocalyptic number.

12224420352 is a gapful number since it is divisible by the number (12) 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 12224420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17730226800).

12224420352 is an abundant number, since it is smaller than the sum of its proper divisors (23236033248).

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

12224420352 is a wasteful number, since it uses less digits than its factorization.

12224420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13554 (or 13535 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12224420352 its reverse (25302442221), we get a palindrome (37526862573).

The spelling of 12224420352 in words is "twelve billion, two hundred twenty-four million, four hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 199 256 288 384 398 512 576 597 768 796 1152 1194 1536 1592 1791 2304 2388 3184 3582 4608 4776 6368 7164 9552 12736 13331 14328 19104 25472 26662 28656 38208 39993 50944 53324 57312 76416 79986 101888 106648 114624 119979 152832 159972 213296 229248 239958 305664 319944 426592 458496 479916 639888 853184 916992 959832 1279776 1706368 1919664 2559552 2652869 3412736 3839328 5119104 5305738 6825472 7678656 7958607 10238208 10611476 15357312 15917214 20476416 21222952 23875821 30714624 31834428 42445904 47751642 61429248 63668856 84891808 95503284 127337712 169783616 191006568 254675424 339567232 382013136 509350848 679134464 764026272 1018701696 1358268928 1528052544 2037403392 3056105088 4074806784 6112210176 12224420352