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12101333220 = 22325373674951
BaseRepresentation
bin10110100010100101…
…11011000011100100
31011020100210102101200
423101102323003210
5144240420130340
65320445322500
7605611430604
oct132122730344
934210712350
1012101333220
11514a983839
122418866430
1311ab154102
1482b278c04
154ac5da330
hex2d14bb0e4

12101333220 has 144 divisors (see below), whose sum is σ = 37809827328. Its totient is φ = 3130617600.

The previous prime is 12101333203. The next prime is 12101333267. The reversal of 12101333220 is 2233310121.

12101333220 is a `hidden beast` number, since 1 + 210 + 133 + 322 + 0 = 666.

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 = 12101333193 and 12101333202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2441745 + ... + 2446695.

Almost surely, 212101333220 is an apocalyptic number.

12101333220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18904913664).

12101333220 is an abundant number, since it is smaller than the sum of its proper divisors (25708494108).

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

12101333220 is a wasteful number, since it uses less digits than its factorization.

12101333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5370 (or 5365 counting only the distinct ones).

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

Adding to 12101333220 its reverse (2233310121), we get a palindrome (14334643341).

The spelling of 12101333220 in words is "twelve billion, one hundred one million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 367 370 444 555 666 734 740 1101 1110 1332 1468 1665 1835 2202 2220 3303 3330 3670 4404 4951 5505 6606 6660 7340 9902 11010 13212 13579 14853 16515 19804 22020 24755 27158 29706 33030 40737 44559 49510 54316 59412 66060 67895 74265 81474 89118 99020 122211 135790 148530 162948 178236 183187 203685 222795 244422 271580 297060 366374 407370 445590 488844 549561 611055 732748 814740 891180 915935 1099122 1222110 1648683 1817017 1831870 2198244 2444220 2747805 3297366 3634034 3663740 5451051 5495610 6594732 7268068 8243415 9085085 10902102 10991220 16353153 16486830 18170170 21804204 27255255 32706306 32973660 36340340 54510510 65412612 67229629 81765765 109021020 134459258 163531530 201688887 268918516 327063060 336148145 403377774 605066661 672296290 806755548 1008444435 1210133322 1344592580 2016888870 2420266644 3025333305 4033777740 6050666610 12101333220