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12123024115488 = 2531113317125651
BaseRepresentation
bin1011000001101001110010…
…0010111100011100100000
31120220221122101122200212020
42300122130202330130200
53042110423133143423
641441123531501440
72360600560520106
oct260323442743440
946827571580766
1012123024115488
113954389080720
1214396342b7880
1369c272282bb0
142dca86807c76
151605336304e3
hexb069c8bc720

12123024115488 has 576 divisors, whose sum is σ = 39150539108352. Its totient is φ = 3234873600000.

The previous prime is 12123024115481. The next prime is 12123024115507. The reversal of 12123024115488 is 88451142032121.

It is a super-2 number, since 2×121230241154882 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12123024115481) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2145285463 + ... + 2145291113.

It is an arithmetic number, because the mean of its divisors is an integer number (67969685952).

Almost surely, 212123024115488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12123024115488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19575269554176).

12123024115488 is an abundant number, since it is smaller than the sum of its proper divisors (27027514992864).

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

12123024115488 is a wasteful number, since it uses less digits than its factorization.

12123024115488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 12123024115488 in words is "twelve trillion, one hundred twenty-three billion, twenty-four million, one hundred fifteen thousand, four hundred eighty-eight".