Search a number
-
+
12122111220011 = 131797565476103
BaseRepresentation
bin1011000001100110011000…
…1000100001100100101011
31120220212021202212210200122
42300121212020201210223
53042102040433020021
641440453201153455
72360536134162212
oct260314610414453
946825252783618
1012122111220011
113953a5a840851
12143941a62b88b
1369c1580c2a60
142dc9db492079
151604cd407bab
hexb066622192b

12122111220011 has 16 divisors (see below), whose sum is σ = 13964997864384. Its totient is φ = 10422855512064.

The previous prime is 12122111220007. The next prime is 12122111220031. The reversal of 12122111220011 is 11002211122121.

It is a cyclic number.

It is not a de Polignac number, because 12122111220011 - 22 = 12122111220007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12122111220031) 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, 282716615 + ... + 282759488.

It is an arithmetic number, because the mean of its divisors is an integer number (872812366524).

Almost surely, 212122111220011 is an apocalyptic number.

12122111220011 is a deficient number, since it is larger than the sum of its proper divisors (1842886644373).

12122111220011 is a wasteful number, since it uses less digits than its factorization.

12122111220011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565476230.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12122111220011 its reverse (11002211122121), we get a palindrome (23124322342132).

The spelling of 12122111220011 in words is "twelve trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty thousand, eleven".

Divisors: 1 13 17 97 221 1261 1649 21437 565476103 7351189339 9613093751 54851181991 124970218763 713065365883 932470093847 12122111220011