Search a number
-
+
12061231496832 = 273741719101401
BaseRepresentation
bin1010111110000011100101…
…1010110011111010000000
31120201001010221221102121110
42233200321122303322000
53040102400230344312
641352504145323320
72353252363110000
oct257407132637200
946631127842543
1012061231496832
113930159820741
12142966a036540
136964a531b60b
142d9aa3c40000
1515db1883143c
hexaf8396b3e80

12061231496832 has 1280 divisors, whose sum is σ = 42173729308800. Its totient is φ = 3034644480000.

The previous prime is 12061231496819. The next prime is 12061231496833. The reversal of 12061231496832 is 23869413216021.

12061231496832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12061231496833) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30077883832 + ... + 30077884232.

Almost surely, 212061231496832 is an apocalyptic number.

12061231496832 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 12061231496832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21086864654400).

12061231496832 is an abundant number, since it is smaller than the sum of its proper divisors (30112497811968).

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

12061231496832 is a wasteful number, since it uses less digits than its factorization.

12061231496832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 12061231496832 in words is "twelve trillion, sixty-one billion, two hundred thirty-one million, four hundred ninety-six thousand, eight hundred thirty-two".