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12221107519648 = 257313952817127
BaseRepresentation
bin1011000111010111001011…
…0001011100000010100000
31121021022210222212212212211
42301311302301130002200
53100212312011112043
641554144351331504
72400642302635456
oct261656261340240
947238728785784
1012221107519648
113991a40655a15
121454648220b94
136a85a399ac51
1430370d0c09d6
15162d7447ea9d
hexb1d72c5c0a0

12221107519648 has 96 divisors (see below), whose sum is σ = 24573464657280. Its totient is φ = 5981516513280.

The previous prime is 12221107519499. The next prime is 12221107519657. The reversal of 12221107519648 is 84691570112221.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1714758261 + ... + 1714765387.

It is an arithmetic number, because the mean of its divisors is an integer number (255973590180).

Almost surely, 212221107519648 is an apocalyptic number.

It is an amenable number.

12221107519648 is an abundant number, since it is smaller than the sum of its proper divisors (12352357137632).

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

12221107519648 is a wasteful number, since it uses less digits than its factorization.

12221107519648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12630 (or 12622 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

The spelling of 12221107519648 in words is "twelve trillion, two hundred twenty-one billion, one hundred seven million, five hundred nineteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 73 139 146 278 292 556 584 1112 1168 2224 2336 4448 5281 7127 10147 10562 14254 20294 21124 28508 40588 42248 57016 81176 84496 114032 162352 168992 228064 324704 385513 520271 734059 771026 990653 1040542 1468118 1542052 1981306 2081084 2936236 3084104 3962612 4162168 5872472 6168208 7925224 8324336 11744944 12336416 15850448 16648672 23489888 31700896 37637687 53586307 72317669 75275374 107172614 144635338 150550748 214345228 289270676 301101496 428690456 578541352 602202992 857380912 1157082704 1204405984 1714761824 2314165408 2747551151 5231638493 5495102302 10463276986 10990204604 20926553972 21980409208 41853107944 43960818416 83706215888 87921636832 167412431776 381909609989 763819219978 1527638439956 3055276879912 6110553759824 12221107519648