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12078220 = 22571122331
BaseRepresentation
bin101110000100…
…110010001100
3211201122012111
4232010302030
511043000340
61110513404
7204443320
oct56046214
924648174
1012078220
1168aa600
124065864
13266b79b
141865980
1510d8aea
hexb84c8c

12078220 has 144 divisors (see below), whose sum is σ = 34320384. Its totient is φ = 3484800.

The previous prime is 12078217. The next prime is 12078221. The reversal of 12078220 is 2287021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12078191 and 12078200.

It is not an unprimeable number, because it can be changed into a prime (12078221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389605 + ... + 389635.

It is an arithmetic number, because the mean of its divisors is an integer number (238336).

Almost surely, 212078220 is an apocalyptic number.

12078220 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 12078220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160192).

12078220 is an abundant number, since it is smaller than the sum of its proper divisors (22242164).

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

12078220 is a wasteful number, since it uses less digits than its factorization.

12078220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 12078220 is about 3475.3733612376. The cubic root of 12078220 is about 229.4392135106.

The spelling of 12078220 in words is "twelve million, seventy-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 31 35 44 46 55 62 70 77 92 110 115 121 124 140 154 155 161 217 220 230 242 253 308 310 322 341 385 434 460 484 506 605 620 644 682 713 770 805 847 868 1012 1085 1210 1265 1364 1426 1540 1610 1694 1705 1771 2170 2387 2420 2530 2783 2852 3220 3388 3410 3542 3565 3751 4235 4340 4774 4991 5060 5566 6820 7084 7130 7502 7843 8470 8855 9548 9982 11132 11935 13915 14260 15004 15686 16940 17710 18755 19481 19964 23870 24955 26257 27830 31372 35420 37510 38962 39215 47740 49910 52514 54901 55660 75020 77924 78430 86273 97405 99820 105028 109802 131285 156860 172546 194810 219604 262570 274505 345092 389620 431365 525140 549010 603911 862730 1098020 1207822 1725460 2415644 3019555 6039110 12078220