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121112312220 = 223251739579187
BaseRepresentation
bin111000011001011011…
…0110011100110011100
3102120121112011221000100
41300302312303212130
53441014222442340
6131345505101100
711515163445114
oct1606266634634
9376545157010
10121112312220
11473aa819819
121b580327790
13b561789193
145c0cd6c044
15323c96e830
hex1c32db399c

121112312220 has 72 divisors (see below), whose sum is σ = 388984259664. Its totient is φ = 30396814848.

The previous prime is 121112312219. The next prime is 121112312221. The reversal of 121112312220 is 22213211121.

121112312220 is a `hidden beast` number, since 1 + 21 + 112 + 312 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (121112312219) and next prime (121112312221).

It is a super-2 number, since 2×1211123122202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121112312193 and 121112312202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112312221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19786534 + ... + 19792653.

It is an arithmetic number, because the mean of its divisors is an integer number (5402559162).

Almost surely, 2121112312220 is an apocalyptic number.

121112312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121112312220 is an abundant number, since it is smaller than the sum of its proper divisors (267871947444).

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

121112312220 is a wasteful number, since it uses less digits than its factorization.

121112312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39579219 (or 39579214 counting only the distinct ones).

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

Adding to 121112312220 its reverse (22213211121), we get a palindrome (143325523341).

The spelling of 121112312220 in words is "one hundred twenty-one billion, one hundred twelve million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 39579187 79158374 118737561 158316748 197895935 237475122 356212683 395791870 474950244 593687805 672846179 712425366 791583740 1187375610 1345692358 1424850732 1781063415 2018538537 2374751220 2691384716 3364230895 3562126830 4037077074 6055615611 6728461790 7124253660 8074154148 10092692685 12111231222 13456923580 20185385370 24222462444 30278078055 40370770740 60556156110 121112312220