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12060287976960 = 2935520039679
BaseRepresentation
bin1010111110000000000100…
…1011100100011000000000
31120200221201012112122200000
42233200001023210120000
53040043432210230320
641352230402400000
72353220115243126
oct257400113443000
946627635478600
1012060287976960
11392a815174253
121429446060000
136963849c8232
142d9a147d5916
1515dab0aa9c90
hexaf8012e4600

12060287976960 has 480 divisors, whose sum is σ = 43341240983040. Its totient is φ = 3214139056128.

The previous prime is 12060287976949. The next prime is 12060287976983. The reversal of 12060287976960 is 6967978206021.

12060287976960 is a `hidden beast` number, since 1 + 206 + 0 + 287 + 97 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246021401 + ... + 1246031079.

It is an arithmetic number, because the mean of its divisors is an integer number (90294252048).

Almost surely, 212060287976960 is an apocalyptic number.

12060287976960 is a gapful number since it is divisible by the number (10) 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 12060287976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670620491520).

12060287976960 is an abundant number, since it is smaller than the sum of its proper divisors (31280953006080).

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

12060287976960 is an frugal number, since it uses more digits than its factorization.

12060287976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11720 (or 11692 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 12060287976960 in words is "twelve trillion, sixty billion, two hundred eighty-seven million, nine hundred seventy-six thousand, nine hundred sixty".