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122211201213 = 321753831071697
BaseRepresentation
bin111000111010001011…
…0101111000010111101
3102200110002221021022200
41301310112233002331
54000242031414323
6132050522102113
711554336033113
oct1616426570275
9380402837280
10122211201213
1147914045342
121b82834a939
13b6a833b25a
145cb4c9bab3
1532a4186443
hex1c745af0bd

122211201213 has 96 divisors (see below), whose sum is σ = 194648178816. Its totient is φ = 73590226944.

The previous prime is 122211201173. The next prime is 122211201347. The reversal of 122211201213 is 312102112221.

It is not a de Polignac number, because 122211201213 - 28 = 122211200957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211201113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72015181 + ... + 72016877.

It is an arithmetic number, because the mean of its divisors is an integer number (2027585196).

Almost surely, 2122211201213 is an apocalyptic number.

It is an amenable number.

122211201213 is a deficient number, since it is larger than the sum of its proper divisors (72436977603).

122211201213 is a wasteful number, since it uses less digits than its factorization.

122211201213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122211201213 its reverse (312102112221), we get a palindrome (434313313434).

The spelling of 122211201213 in words is "one hundred twenty-two billion, two hundred eleven million, two hundred one thousand, two hundred thirteen".

Divisors: 1 3 9 17 51 53 83 107 153 159 249 321 477 747 901 963 1411 1697 1819 2703 4233 4399 5091 5457 5671 8109 8881 12699 13197 15273 16371 17013 26643 28849 39591 51039 74783 79929 86547 89941 96407 140851 150977 181579 224349 259641 269823 289221 422553 452931 470693 544737 673047 809469 867663 1267659 1358793 1412079 1528997 1634211 2394467 3086843 4236237 4586991 7183401 7465103 8001781 9260529 9623687 13760973 15071057 21550203 22395309 24005343 27781587 28871061 45213171 67185927 72016029 86613183 126906751 135639513 163602679 256207969 380720253 490808037 768623907 798766021 1142160759 1472424111 2305871721 2396298063 7188894189 13579022357 40737067071 122211201213