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120412224 = 2633174099
BaseRepresentation
bin1110010110101…
…01100001000000
322101120120112000
413023111201000
5221311142344
615540504000
72661326022
oct713254100
9271516460
10120412224
1161a73539
12343ab000
131bc3c74a
1411dc6012
15a887a69
hex72d5840

120412224 has 112 divisors (see below), whose sum is σ = 374904000. Its totient is φ = 37767168.

The previous prime is 120412219. The next prime is 120412267. The reversal of 120412224 is 422214021.

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 = 120412197 and 120412206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27327 + ... + 31425.

Almost surely, 2120412224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187452000).

120412224 is an abundant number, since it is smaller than the sum of its proper divisors (254491776).

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

120412224 is a wasteful number, since it uses less digits than its factorization.

120412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 120412224 is about 10973.2503844577. The cubic root of 120412224 is about 493.8065648169.

Adding to 120412224 its reverse (422214021), we get a palindrome (542626245).

The spelling of 120412224 in words is "one hundred twenty million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4099 4896 7344 8198 9792 12297 14688 16396 24594 29376 32792 36891 49188 65584 69683 73782 98376 110673 131168 139366 147564 196752 209049 221346 262336 278732 295128 393504 418098 442692 557464 590256 627147 787008 836196 885384 1114928 1180512 1254294 1672392 1770768 1881441 2229856 2361024 2508588 3344784 3541536 3762882 4459712 5017176 6689568 7083072 7525764 10034352 13379136 15051528 20068704 30103056 40137408 60206112 120412224