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12001189477032 = 2332797829729587
BaseRepresentation
bin1010111010100011111010…
…1000101011101010101000
31120111022011112021210112100
42232220332220223222220
53033111414001231112
641305134220413400
72346025443262410
oct256507650535250
946438145253470
1012001189477032
113907748653578
121419ab20a7260
13690926c6b452
142d6c0996d640
1515c2a257d2dc
hexaea3ea2baa8

12001189477032 has 192 divisors, whose sum is σ = 37535284725120. Its totient is φ = 3393037983744.

The previous prime is 12001189477027. The next prime is 12001189477049. The reversal of 12001189477032 is 23077498110021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405608943 + ... + 405638529.

It is an arithmetic number, because the mean of its divisors is an integer number (195496274610).

Almost surely, 212001189477032 is an apocalyptic number.

12001189477032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001189477032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18767642362560).

12001189477032 is an abundant number, since it is smaller than the sum of its proper divisors (25534095248088).

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

12001189477032 is a wasteful number, since it uses less digits than its factorization.

12001189477032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38000 (or 37993 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 12001189477032 in words is "twelve trillion, one billion, one hundred eighty-nine million, four hundred seventy-seven thousand, thirty-two".