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121321103220 = 223254441151769
BaseRepresentation
bin111000011111101001…
…1010001111101110100
3102121011002001121102100
41300333103101331310
53441431200300340
6131422324142100
711523310235202
oct1607723217564
9377132047370
10121321103220
11474a7666569
121b61a237930
13b595b00955
145c2c99c072
153250e63830
hex1c3f4d1f74

121321103220 has 72 divisors (see below), whose sum is σ = 368092637640. Its totient is φ = 32344796160.

The previous prime is 121321103203. The next prime is 121321103221. The reversal of 121321103220 is 22301123121.

121321103220 is a `hidden beast` number, since 1 + 21 + 321 + 1 + 0 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34994436624 + 86326666596 = 187068^2 + 293814^2 .

It is a super-3 number, since 3×1213211032203 (a number of 34 digits) contains 333 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 = 121321103193 and 121321103202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121321103221) 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, 723496 + ... + 875264.

It is an arithmetic number, because the mean of its divisors is an integer number (5112397745).

Almost surely, 2121321103220 is an apocalyptic number.

121321103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121321103220 is an abundant number, since it is smaller than the sum of its proper divisors (246771534420).

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

121321103220 is a wasteful number, since it uses less digits than its factorization.

121321103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156225 (or 156220 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121321103220 its reverse (22301123121), we get a palindrome (143622226341).

The spelling of 121321103220 in words is "one hundred twenty-one billion, three hundred twenty-one million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4441 8882 13323 17764 22205 26646 39969 44410 53292 66615 79938 88820 133230 151769 159876 199845 266460 303538 399690 455307 607076 758845 799380 910614 1365921 1517690 1821228 2276535 2731842 3035380 4553070 5463684 6829605 9106140 13659210 27318420 674006129 1348012258 2022018387 2696024516 3370030645 4044036774 6066055161 6740061290 8088073548 10110091935 12132110322 13480122580 20220183870 24264220644 30330275805 40440367740 60660551610 121321103220