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120412314 = 2321123137193
BaseRepresentation
bin1110010110101…
…01100010011010
322101120120122100
413023111202122
5221311143224
615540504230
72661326211
oct713254232
9271516570
10120412314
1161a73610
12343ab076
131bc3c7b9
1411dc6078
15a887ac9
hex72d589a

120412314 has 96 divisors (see below), whose sum is σ = 300703104. Its totient is φ = 34467840.

The previous prime is 120412297. The next prime is 120412361. The reversal of 120412314 is 413214021.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 623802 + ... + 623994.

It is an arithmetic number, because the mean of its divisors is an integer number (3132324).

Almost surely, 2120412314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120412314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150351552).

120412314 is an abundant number, since it is smaller than the sum of its proper divisors (180290790).

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

120412314 is a wasteful number, since it uses less digits than its factorization.

120412314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120412314 is about 10973.2544853384. The cubic root of 120412314 is about 493.8066878459.

Adding to 120412314 its reverse (413214021), we get a palindrome (533626335).

The spelling of 120412314 in words is "one hundred twenty million, four hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 137 138 193 198 207 253 274 386 411 414 506 579 759 822 1158 1233 1507 1518 1737 2123 2277 2466 3014 3151 3474 4246 4439 4521 4554 6302 6369 8878 9042 9453 12738 13317 13563 18906 19107 26441 26634 27126 28359 34661 38214 39951 48829 52882 56718 69322 79323 79902 97658 103983 146487 158646 207966 237969 290851 292974 311949 439461 475938 581702 608143 623898 872553 878922 1216286 1745106 1824429 2617659 3648858 5235318 5473287 6689573 10946574 13379146 20068719 40137438 60206157 120412314