Search a number
-
+
12256720235265 = 3511721671029323
BaseRepresentation
bin1011001001011011110101…
…1101001010101100000001
31121101201201220111021122010
42302112331131022230001
53101303230340012030
642022354243403133
72403342645010632
oct262267535125401
947351656437563
1012256720235265
1139a605604a2a0
12145b5269834a9
136aba5ab2013c
1430532ab23889
15163c5abe06b0
hexb25bd74ab01

12256720235265 has 32 divisors (see below), whose sum is σ = 21393865276416. Its totient is φ = 5942564116160.

The previous prime is 12256720235261. The next prime is 12256720235273. The reversal of 12256720235265 is 56253202765221.

It is a happy number.

12256720235265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12256720235265 - 22 = 12256720235261 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12256720235261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11392894 + ... + 12422216.

It is an arithmetic number, because the mean of its divisors is an integer number (668558289888).

Almost surely, 212256720235265 is an apocalyptic number.

12256720235265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12256720235265 is a deficient number, since it is larger than the sum of its proper divisors (9137145041151).

12256720235265 is a wasteful number, since it uses less digits than its factorization.

12256720235265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101509.

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 12256720235265 in words is "twelve trillion, two hundred fifty-six billion, seven hundred twenty million, two hundred thirty-five thousand, two hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 165 72167 216501 360835 793837 1029323 1082505 2381511 3087969 3969185 5146615 11322553 11907555 15439845 33967659 56612765 169838295 74283152941 222849458823 371415764705 817114682351 1114247294115 2451344047053 4085573411755 12256720235265