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120424304412 = 223210337985691
BaseRepresentation
bin111000000100111011…
…0010000111100011100
3102111211120120111201200
41300021312100330130
53433112110220122
6131153330435500
711462140461336
oct1601166207434
9374746514650
10120424304412
1147087420325
121b409a32b90
13b482088379
145b85836456
1531ec36a5ac
hex1c09d90f1c

120424304412 has 72 divisors (see below), whose sum is σ = 308175853440. Its totient is φ = 39646363680.

The previous prime is 120424304393. The next prime is 120424304431. The reversal of 120424304412 is 214403424021.

120424304412 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 243 + 0 + 4 + 412 = 666.

It is an interprime number because it is at equal distance from previous prime (120424304393) and next prime (120424304431).

It is a super-2 number, since 2×1204243044122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1362487 + ... + 1448177.

Almost surely, 2120424304412 is an apocalyptic number.

120424304412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120424304412 is an abundant number, since it is smaller than the sum of its proper divisors (187751549028).

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

120424304412 is a wasteful number, since it uses less digits than its factorization.

120424304412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86183 (or 86178 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 120424304412 its reverse (214403424021), we get a palindrome (334827728433).

The spelling of 120424304412 in words is "one hundred twenty billion, four hundred twenty-four million, three hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 379 412 618 758 927 1137 1236 1516 1854 2274 3411 3708 4548 6822 13644 39037 78074 85691 117111 156148 171382 234222 257073 342764 351333 468444 514146 702666 771219 1028292 1405332 1542438 3084876 8826173 17652346 26478519 32476889 35304692 52957038 64953778 79435557 97430667 105914076 129907556 158871114 194861334 292292001 317742228 389722668 584584002 1169168004 3345119567 6690239134 10035358701 13380478268 20070717402 30106076103 40141434804 60212152206 120424304412