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122111201120100 = 223521216333465209
BaseRepresentation
bin11011110000111100111010…
…110001000000111101100100
3121000100201100120011002022020
4123300330322301000331210
5112001132214441320400
61111413040015503140
734502146253464443
oct3360747261007544
9530321316132266
10122111201120100
11359aa084666445
1211841b76227ab0
13531a062c8519a
1422222dc444d5a
15e1b5d4dd82a0
hex6f0f3ac40f64

122111201120100 has 72 divisors (see below), whose sum is σ = 353337466933920. Its totient is φ = 32560308775680.

The previous prime is 122111201120089. The next prime is 122111201120113. The reversal of 122111201120100 is 1021102111221.

It is a happy number.

It is a super-2 number, since 2×1221112011201002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122111201120100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13083705 + ... + 20381504.

Almost surely, 2122111201120100 is an apocalyptic number.

122111201120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111201120100 is an abundant number, since it is smaller than the sum of its proper divisors (231226265813820).

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

122111201120100 is a wasteful number, since it uses less digits than its factorization.

122111201120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33477389 (or 33477382 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122111201120100 its reverse (1021102111221), we get a palindrome (123132303231321).

The spelling of 122111201120100 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 12163 24326 36489 48652 60815 72978 121630 145956 182445 243260 304075 364890 608150 729780 912225 1216300 1824450 3648900 33465209 66930418 100395627 133860836 167326045 200791254 334652090 401582508 501978135 669304180 836630225 1003956270 1673260450 2007912540 2509890675 3346520900 5019781350 10039562700 407037337067 814074674134 1221112011201 1628149348268 2035186685335 2442224022402 4070373370670 4884448044804 6105560056005 8140746741340 10175933426675 12211120112010 20351866853350 24422240224020 30527800280025 40703733706700 61055600560050 122111201120100