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12114401321220 = 22351127701662617
BaseRepresentation
bin1011000001001001101010…
…0101100110000100000100
31120220010101110100100211120
42300102122211212010010
53041440243214234340
641433140143233540
72360144105133162
oct260223245460404
946803343310746
1012114401321220
1139507637a6770
121437a285a88b0
1369b4c99c2c73
142dc4a9542232
151601cb6134d0
hexb049a966104

12114401321220 has 96 divisors (see below), whose sum is σ = 37005381173376. Its totient is φ = 2936714112000.

The previous prime is 12114401321219. The next prime is 12114401321257. The reversal of 12114401321220 is 2212310441121.

It is a super-3 number, since 3×121144013212203 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17951352 + ... + 18613968.

It is an arithmetic number, because the mean of its divisors is an integer number (385472720556).

Almost surely, 212114401321220 is an apocalyptic number.

12114401321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114401321220 is an abundant number, since it is smaller than the sum of its proper divisors (24890979852156).

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

12114401321220 is a wasteful number, since it uses less digits than its factorization.

12114401321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690341 (or 690339 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12114401321220 its reverse (2212310441121), we get a palindrome (14326711762341).

The spelling of 12114401321220 in words is "twelve trillion, one hundred fourteen billion, four hundred one million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 27701 55402 83103 110804 138505 166206 277010 304711 332412 415515 554020 609422 662617 831030 914133 1218844 1325234 1523555 1662060 1828266 1987851 2650468 3047110 3313085 3656532 3975702 4570665 6094220 6626170 7288787 7951404 9141330 9939255 13252340 14577574 18282660 19878510 21866361 29155148 36443935 39757020 43732722 72887870 87465444 109331805 145775740 218663610 437327220 18355153517 36710307034 55065460551 73420614068 91775767585 110130921102 183551535170 201906688687 220261842204 275327302755 367103070340 403813377374 550654605510 605720066061 807626754748 1009533443435 1101309211020 1211440132122 2019066886870 2422880264244 3028600330305 4038133773740 6057200660610 12114401321220