Search a number
-
+
12476139720000 = 263541131509599
BaseRepresentation
bin1011010110001101001111…
…1000000100110101000000
31122011201002121222000010220
42311203103320010311000
53113402113232020000
642311243124423040
72425241241604335
oct265432370046500
948151077860126
1012476139720000
113a8011268a830
121495b61b47a80
136c6658481088
14311bc3d7698c
151697ede611a0
hexb58d3e04d40

12476139720000 has 1120 divisors, whose sum is σ = 46619476992000. Its totient is φ = 2916326400000.

The previous prime is 12476139719987. The next prime is 12476139720001. The reversal of 12476139720000 is 2793167421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12476139720001) 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 159 ways as a sum of consecutive naturals, for example, 20828279701 + ... + 20828280299.

Almost surely, 212476139720000 is an apocalyptic number.

12476139720000 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 12476139720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23309738496000).

12476139720000 is an abundant number, since it is smaller than the sum of its proper divisors (34143337272000).

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

12476139720000 is a wasteful number, since it uses less digits than its factorization.

12476139720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 12476139720000 in words is "twelve trillion, four hundred seventy-six billion, one hundred thirty-nine million, seven hundred twenty thousand".