Search a number
-
+
12120001111001 = 73125112824337
BaseRepresentation
bin1011000001011110100001…
…0111000110001111011001
31120220122211201100011022002
42300113220113012033121
53042033230241023001
641435503542210345
72360432632433000
oct260275027061731
946818751304262
1012120001111001
113953077728703
121438b2ba239b5
1369bbacba5844
142dc87b133c37
1516040804546b
hexb05e85c63d9

12120001111001 has 16 divisors (see below), whose sum is σ = 14135246822400. Its totient is φ = 10387738347840.

The previous prime is 12120001110911. The next prime is 12120001111003. The reversal of 12120001111001 is 10011110002121.

12120001111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12120001111001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12120001111003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2879105 + ... + 5703441.

It is an arithmetic number, because the mean of its divisors is an integer number (883452926400).

Almost surely, 212120001111001 is an apocalyptic number.

It is an amenable number.

12120001111001 is a deficient number, since it is larger than the sum of its proper divisors (2015245711399).

12120001111001 is an equidigital number, since it uses as much as digits as its factorization.

12120001111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836869 (or 2836855 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12120001111001 its reverse (10011110002121), we get a palindrome (22131111113122).

The spelling of 12120001111001 in words is "twelve trillion, one hundred twenty billion, one million, one hundred eleven thousand, one".

Divisors: 1 7 49 343 12511 87577 613039 2824337 4291273 19770359 138392513 968747591 35335280207 247346961449 1731428730143 12120001111001