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120100120 = 2357538093
BaseRepresentation
bin1110010100010…
…01010100011000
322100222201101121
413022021110120
5221221200440
615530055024
72655556060
oct712112430
9270881347
10120100120
116187aaa8
123427a474
131bb6067a
1411d443a0
15a82534a
hex7289518

120100120 has 64 divisors (see below), whose sum is σ = 314694720. Its totient is φ = 40395264.

The previous prime is 120100103. The next prime is 120100139. The reversal of 120100120 is 21001021.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

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, 10794 + ... + 18886.

It is an arithmetic number, because the mean of its divisors is an integer number (4917105).

Almost surely, 2120100120 is an apocalyptic number.

120100120 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 120100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157347360).

120100120 is an abundant number, since it is smaller than the sum of its proper divisors (194594600).

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

120100120 is a wasteful number, since it uses less digits than its factorization.

120100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8164 (or 8160 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 120100120 is about 10959.0200291814. The cubic root of 120100120 is about 493.3795529296.

Adding to 120100120 its reverse (21001021), we get a palindrome (141101141).

Subtracting from 120100120 its reverse (21001021), we obtain a palindrome (99099099).

It can be divided in two parts, 1201001 and 20, that added together give a palindrome (1201021).

The spelling of 120100120 in words is "one hundred twenty million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 7420 8093 14840 16186 32372 40465 56651 64744 80930 113302 161860 226604 283255 323720 428929 453208 566510 857858 1133020 1715716 2144645 2266040 3002503 3431432 4289290 6005006 8578580 12010012 15012515 17157160 24020024 30025030 60050060 120100120