Search a number
-
+
1200321123221 = 111921791688669
BaseRepresentation
bin10001011101111000101…
…101101101001110010101
311020202020102221212020002
4101131320231231032111
5124131224201420341
62315230411221045
7152502035130233
oct21357055551625
94222212855202
101200321123221
11423064a88790
12174769147785
1389260ca024c
144214b039953
1521352ebd29b
hex11778b6d395

1200321123221 has 24 divisors (see below), whose sum is σ = 1389707863200. Its totient is φ = 1027993531680.

The previous prime is 1200321123191. The next prime is 1200321123233. The reversal of 1200321123221 is 1223211230021.

It is not a de Polignac number, because 1200321123221 - 210 = 1200321122197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1200321123193 and 1200321123202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200321113221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133526 + ... + 1555143.

It is an arithmetic number, because the mean of its divisors is an integer number (57904494300).

Almost surely, 21200321123221 is an apocalyptic number.

1200321123221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1200321123221 is a deficient number, since it is larger than the sum of its proper divisors (189386739979).

1200321123221 is a wasteful number, since it uses less digits than its factorization.

1200321123221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688897 (or 1688878 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1200321123221 its reverse (1223211230021), we get a palindrome (2423532353242).

The spelling of 1200321123221 in words is "one trillion, two hundred billion, three hundred twenty-one million, one hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 11 19 179 209 361 1969 3401 3971 37411 64619 710809 1688669 18575359 32084711 302271751 352931821 609609509 3324989261 5743163269 6705704599 63174795959 109120102111 1200321123221