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121133003220 = 22325897561361
BaseRepresentation
bin111000011010000010…
…1101111000111010100
3102120122222010010201200
41300310011233013110
53441040022100340
6131351524352500
711515534352535
oct1606405570724
9376588103650
10121133003220
1147410471219
121b587245730
13b565b51c88
145c119d668c
15323e6aa330
hex1c3416f1d4

121133003220 has 72 divisors (see below), whose sum is σ = 371565328680. Its totient is φ = 31939184640.

The previous prime is 121133003183. The next prime is 121133003221. The reversal of 121133003220 is 22300331121.

121133003220 is a `hidden beast` number, since 1 + 2 + 11 + 330 + 0 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1585791684 + 119547211536 = 39822^2 + 345756^2 .

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 = 121133003193 and 121133003202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121133003221) 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, 3764661 + ... + 3796700.

It is an arithmetic number, because the mean of its divisors is an integer number (5160629565).

Almost surely, 2121133003220 is an apocalyptic number.

121133003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121133003220 is an abundant number, since it is smaller than the sum of its proper divisors (250432325460).

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

121133003220 is a wasteful number, since it uses less digits than its factorization.

121133003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7561465 (or 7561460 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121133003220 its reverse (22300331121), we get a palindrome (143433334341).

The spelling of 121133003220 in words is "one hundred twenty-one billion, one hundred thirty-three million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 4005 5340 8010 16020 7561361 15122722 22684083 30245444 37806805 45368166 68052249 75613610 90736332 113420415 136104498 151227220 226840830 272208996 340261245 453681660 672961129 680522490 1345922258 1361044980 2018883387 2691844516 3364805645 4037766774 6056650161 6729611290 8075533548 10094416935 12113300322 13459222580 20188833870 24226600644 30283250805 40377667740 60566501610 121133003220