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2124012120 = 2335312392389
BaseRepresentation
bin111111010011001…
…1101101001011000
312111000200222212120
41332212131221120
513322221341440
6550432541240
7103430543106
oct17646355130
95430628776
102124012120
1199aa4981a
124b33b1820
1327b077509
1416213ac76
15c670bdd0
hex7e99da58

2124012120 has 128 divisors (see below), whose sum is σ = 6607872000. Its totient is φ = 545610240.

The previous prime is 2124012103. The next prime is 2124012139. The reversal of 2124012120 is 212104212.

It is a super-2 number, since 2×21240121202 = 9022854971813788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2124012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887886 + ... + 890274.

It is an arithmetic number, because the mean of its divisors is an integer number (51624000).

Almost surely, 22124012120 is an apocalyptic number.

2124012120 is a gapful number since it is divisible by the number (20) 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 2124012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303936000).

2124012120 is an abundant number, since it is smaller than the sum of its proper divisors (4483859880).

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

2124012120 is a wasteful number, since it uses less digits than its factorization.

2124012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2124012120 is about 46087.0059778242. The cubic root of 2124012120 is about 1285.4415395346.

Adding to 2124012120 its reverse (212104212), we get a palindrome (2336116332).

The spelling of 2124012120 in words is "two billion, one hundred twenty-four million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 239 248 310 372 465 478 620 717 744 930 956 1195 1240 1434 1860 1912 2389 2390 2868 3585 3720 4778 4780 5736 7167 7170 7409 9556 9560 11945 14334 14340 14818 19112 22227 23890 28668 28680 29636 35835 37045 44454 47780 57336 59272 71670 74059 74090 88908 95560 111135 143340 148118 148180 177816 222177 222270 286680 296236 296360 370295 444354 444540 570971 592472 740590 888708 889080 1110885 1141942 1481180 1712913 1777416 2221770 2283884 2854855 2962360 3425826 4443540 4567768 5709710 6851652 8564565 8887080 11419420 13703304 17129130 17700101 22838840 34258260 35400202 53100303 68516520 70800404 88500505 106200606 141600808 177001010 212401212 265501515 354002020 424802424 531003030 708004040 1062006060 2124012120