Search a number
-
+
122011220100112 = 24729223168453053
BaseRepresentation
bin11011101111011111110011…
…011011101100010000010000
3121000000011021201020000201221
4123233133303123230100100
5111443012434321200422
61111255103011334424
734462006530026320
oct3357376333542020
9530004251200657
10122011220100112
1135970738a14302
12118267128b1414
1353107bb38c825
14221b535b25280
15e18bd269c3c7
hex6ef7f36ec410

122011220100112 has 80 divisors (see below), whose sum is σ = 280737121674240. Its totient is φ = 50261000219136.

The previous prime is 122011220100109. The next prime is 122011220100113. The reversal of 122011220100112 is 211001022110221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (122011220100113) 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, 83502223 + ... + 84950830.

It is an arithmetic number, because the mean of its divisors is an integer number (3509214020928).

Almost surely, 2122011220100112 is an apocalyptic number.

It is an amenable number.

122011220100112 is an abundant number, since it is smaller than the sum of its proper divisors (158725901574128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122011220100112 is a wasteful number, since it uses less digits than its factorization.

122011220100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168453320 (or 168453314 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122011220100112 its reverse (211001022110221), we get a palindrome (333012242210333).

The spelling of 122011220100112 in words is "one hundred twenty-two trillion, eleven billion, two hundred twenty million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 223 232 406 446 464 812 892 1561 1624 1784 3122 3248 3568 6244 6467 12488 12934 24976 25868 45269 51736 90538 103472 181076 362152 724304 168453053 336906106 673812212 1179171371 1347624424 2358342742 2695248848 4716685484 4885138537 9433370968 9770277074 18866741936 19540554148 34195969759 37565030819 39081108296 68391939518 75130061638 78162216592 136783879036 150260123276 262955215733 273567758072 300520246552 525910431466 547135516144 601040493104 1051820862932 1089385893751 2103641725864 2178771787502 4207283451728 4357543575004 7625701256257 8715087150008 15251402512514 17430174300016 30502805025028 61005610050056 122011220100112