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1212000012120 = 2335171015882353
BaseRepresentation
bin10001101000110000110…
…101001000011101011000
311021212101100211212221210
4101220300311020131120
5124324134000341440
62324441330303120
7153364330060062
oct21506065103530
94255340755853
101212000012120
11428008456887
12176a88427aa0
138a3a2754bb1
144293814a732
15217d845ea80
hex11a30d48758

1212000012120 has 128 divisors (see below), whose sum is σ = 3888000699840. Its totient is φ = 301176422400.

The previous prime is 1212000012107. The next prime is 1212000012151. The reversal of 1212000012120 is 212100002121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1212000012096 and 1212000012105.

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 31 ways as a sum of consecutive naturals, for example, 2735137 + ... + 3147216.

Almost surely, 21212000012120 is an apocalyptic number.

1212000012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1212000012120 is an abundant number, since it is smaller than the sum of its proper divisors (2676000687720).

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

1212000012120 is a wasteful number, since it uses less digits than its factorization.

1212000012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882485 (or 5882481 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1212000012120 its reverse (212100002121), we get a palindrome (1424100014241).

Subtracting from 1212000012120 its reverse (212100002121), we obtain a palindrome (999900009999).

It can be divided in two parts, 121200001 and 2120, that added together give a palindrome (121202121).

The spelling of 1212000012120 in words is "one trillion, two hundred twelve billion, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 101 102 120 136 170 202 204 255 303 340 404 408 505 510 606 680 808 1010 1020 1212 1515 1717 2020 2040 2424 3030 3434 4040 5151 6060 6868 8585 10302 12120 13736 17170 20604 25755 34340 41208 51510 68680 103020 206040 5882353 11764706 17647059 23529412 29411765 35294118 47058824 58823530 70588236 88235295 100000001 117647060 141176472 176470590 200000002 235294120 300000003 352941180 400000004 500000005 594117653 600000006 705882360 800000008 1000000010 1188235306 1200000012 1500000015 1782352959 2000000020 2376470612 2400000024 2970588265 3000000030 3564705918 4000000040 4752941224 5941176530 6000000060 7129411836 8911764795 10100000101 11882353060 12000000120 14258823672 17823529590 20200000202 23764706120 30300000303 35647059180 40400000404 50500000505 60600000606 71294118360 80800000808 101000001010 121200001212 151500001515 202000002020 242400002424 303000003030 404000004040 606000006060 1212000012120