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12061004247744 = 263712833379277
BaseRepresentation
bin1010111110000010101111…
…0111111011001011000000
31120201000120010022222110120
42233200223313323023000
53040101414041411434
641352425430500240
72353243633402134
oct257405367731300
946630503288416
1012061004247744
113930052517081
121429605b04680
1369646a2134ba
142d9a819a73c4
1515db038e3349
hexaf82bdfb2c0

12061004247744 has 224 divisors, whose sum is σ = 32575089470976. Its totient is φ = 3937559592960.

The previous prime is 12061004247737. The next prime is 12061004247827. The reversal of 12061004247744 is 44774240016021.

It is a happy number.

It is a super-2 number, since 2×120610042477442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12061004247696 and 12061004247705.

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, 1300092834 + ... + 1300102110.

Almost surely, 212061004247744 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 12061004247744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16287544735488).

12061004247744 is an abundant number, since it is smaller than the sum of its proper divisors (20514085223232).

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

12061004247744 is a wasteful number, since it uses less digits than its factorization.

12061004247744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9983 (or 9973 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 12061004247744 in words is "twelve trillion, sixty-one billion, four million, two hundred forty-seven thousand, seven hundred forty-four".