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12221201000096 = 251156361668421
BaseRepresentation
bin1011000111010111100001…
…0110000010011010100000
31121021100001111210011221122
42301311320112002122200
53100213004424000341
641554201531111412
72400644516335304
oct261657026023240
947240044704848
1012221201000096
113991a893a4190
1214546735a2568
136a85ba16b11a
1430371b695d04
15162d7c79794b
hexb1d785826a0

12221201000096 has 48 divisors (see below), whose sum is σ = 26294428446048. Its totient is φ = 5545224326400.

The previous prime is 12221201000087. The next prime is 12221201000101. The reversal of 12221201000096 is 69000010212221.

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 7 ways as a sum of consecutive naturals, for example, 30636035 + ... + 31032386.

It is an arithmetic number, because the mean of its divisors is an integer number (547800592626).

Almost surely, 212221201000096 is an apocalyptic number.

12221201000096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12221201000096 is an abundant number, since it is smaller than the sum of its proper divisors (14073227445952).

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

12221201000096 is a wasteful number, since it uses less digits than its factorization.

12221201000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61669005 (or 61668997 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 12221201000096 in words is "twelve trillion, two hundred twenty-one billion, two hundred one million, ninety-six", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 563 1126 2252 4504 6193 9008 12386 18016 24772 49544 99088 198176 61668421 123336842 246673684 493347368 678352631 986694736 1356705262 1973389472 2713410524 5426821048 10853642096 21707284192 34719321023 69438642046 138877284092 277754568184 381912531253 555509136368 763825062506 1111018272736 1527650125012 3055300250024 6110600500048 12221201000096