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1212033130020 = 22325101440915121
BaseRepresentation
bin10001101000110010110…
…011011101111000100100
311021212110200011110011200
4101220302303131320210
5124324220440130040
62324444512202500
7153365211422526
oct21506263357044
94255420143150
101212033130020
11428025116849
12176a97539430
138a3a957c09b
144293c6cba16
15217db302630
hex11a32cdde24

1212033130020 has 144 divisors (see below), whose sum is σ = 3713989209840. Its totient is φ = 319915008000.

The previous prime is 1212033129997. The next prime is 1212033130051. The reversal of 1212033130020 is 200313302121.

1212033130020 is a `hidden beast` number, since 1 + 2 + 12 + 0 + 331 + 300 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 41638034916 + 1170395095104 = 204054^2 + 1081848^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1212033129975 and 1212033130002.

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, 80148060 + ... + 80163180.

It is an arithmetic number, because the mean of its divisors is an integer number (25791591735).

Almost surely, 21212033130020 is an apocalyptic number.

1212033130020 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 1212033130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856994604920).

1212033130020 is an abundant number, since it is smaller than the sum of its proper divisors (2501956079820).

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

1212033130020 is a wasteful number, since it uses less digits than its factorization.

1212033130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19646 (or 19641 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1212033130020 its reverse (200313302121), we get a palindrome (1412346432141).

The spelling of 1212033130020 in words is "one trillion, two hundred twelve billion, thirty-three million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4409 4545 6060 8818 9090 13227 15121 17636 18180 22045 26454 30242 39681 44090 45363 52908 60484 66135 75605 79362 88180 90726 132270 136089 151210 158724 181452 198405 226815 264540 272178 302420 396810 445309 453630 544356 680445 793620 890618 907260 1335927 1360890 1527221 1781236 2226545 2671854 2721780 3054442 4007781 4453090 4581663 5343708 6108884 6679635 7636105 8015562 8906180 9163326 13359270 13744989 15272210 16031124 18326652 20038905 22908315 26718540 27489978 30544420 40077810 45816630 54979956 66668489 68724945 80155620 91633260 133336978 137449890 200005467 266673956 274899780 333342445 400010934 600016401 666684890 800021868 1000027335 1200032802 1333369780 2000054670 2400065604 3000082005 4000109340 6000164010 6733517389 12000328020 13467034778 20200552167 26934069556 33667586945 40401104334 60601656501 67335173890 80802208668 101002760835 121203313002 134670347780 202005521670 242406626004 303008282505 404011043340 606016565010 1212033130020