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12117322749288 = 2334043312487039
BaseRepresentation
bin1011000001010100100010…
…1101111101010101101000
31120220101221001112021202010
42300111020231331111220
53042012234110434123
641434342103435520
72360306360641161
oct260251055752550
946811831467663
1012117322749288
113951a22880929
121438502a55ba0
1369b874027123
142dc6a5534768
151602ecd36993
hexb0548b7d568

12117322749288 has 32 divisors (see below), whose sum is σ = 30294058521600. Its totient is φ = 4039007363328.

The previous prime is 12117322749283. The next prime is 12117322749293. The reversal of 12117322749288 is 88294722371121.

It is an interprime number because it is at equal distance from previous prime (12117322749283) and next prime (12117322749293).

It is a super-2 number, since 2×121173227492882 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12117322749281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5273128 + ... + 7213911.

It is an arithmetic number, because the mean of its divisors is an integer number (946689328800).

Almost surely, 212117322749288 is an apocalyptic number.

It is an amenable number.

12117322749288 is an abundant number, since it is smaller than the sum of its proper divisors (18176735772312).

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

12117322749288 is a wasteful number, since it uses less digits than its factorization.

12117322749288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12527481 (or 12527477 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 57.

The spelling of 12117322749288 in words is "twelve trillion, one hundred seventeen billion, three hundred twenty-two million, seven hundred forty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 40433 80866 121299 161732 242598 323464 485196 970392 12487039 24974078 37461117 49948156 74922234 99896312 149844468 299688936 504888447887 1009776895774 1514665343661 2019553791548 3029330687322 4039107583096 6058661374644 12117322749288