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120103312 = 2472307499
BaseRepresentation
bin1110010100010…
…10000110010000
322100222212202211
413022022012100
5221221301222
615530121504
72655601300
oct712120620
9270885684
10120103312
116188243a
1234280294
131bb61c64
1411d45600
15a826277
hex728a190

120103312 has 60 divisors (see below), whose sum is σ = 272118000. Its totient is φ = 51202368.

The previous prime is 120103307. The next prime is 120103339. The reversal of 120103312 is 213301021.

It is a junction number, because it is equal to n+sod(n) for n = 120103292 and 120103301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240439 + ... + 240937.

It is an arithmetic number, because the mean of its divisors is an integer number (4535300).

Almost surely, 2120103312 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 120103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136059000).

120103312 is an abundant number, since it is smaller than the sum of its proper divisors (152014688).

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

120103312 is a wasteful number, since it uses less digits than its factorization.

120103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 120103312 is about 10959.1656616733. The cubic root of 120103312 is about 493.3839238760.

Adding to 120103312 its reverse (213301021), we get a palindrome (333404333).

The spelling of 120103312 in words is "one hundred twenty million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 307 392 499 614 784 998 1228 1996 2149 2456 3493 3992 4298 4912 6986 7984 8596 13972 15043 17192 24451 27944 30086 34384 48902 55888 60172 97804 120344 153193 195608 240688 306386 391216 612772 1072351 1225544 2144702 2451088 4289404 7506457 8578808 15012914 17157616 30025828 60051656 120103312