Search a number
-
+
1212101402200 = 235213557836971
BaseRepresentation
bin10001101000110110110…
…111111001111001011000
311021212122102122000222221
4101220312313321321120
5124324340424332300
62324455351353424
7153400000632013
oct21506667717130
94255572560887
101212101402200
1142805a707737
12176ab6382874
138a3ba764320
14429477c037a
15217e22db31a
hex11a36df9e58

1212101402200 has 96 divisors (see below), whose sum is σ = 3040367747760. Its totient is φ = 446741107200.

The previous prime is 1212101402131. The next prime is 1212101402203. The reversal of 1212101402200 is 22041012121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212101402203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029715 + ... + 1866685.

Almost surely, 21212101402200 is an apocalyptic number.

1212101402200 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 1212101402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520183873880).

1212101402200 is an abundant number, since it is smaller than the sum of its proper divisors (1828266345560).

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

1212101402200 is a wasteful number, since it uses less digits than its factorization.

1212101402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837557 (or 837548 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1212101402200 its reverse (22041012121), we get a palindrome (1234142414321).

The spelling of 1212101402200 in words is "one trillion, two hundred twelve billion, one hundred one million, four hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 557 650 1114 1300 2228 2600 2785 4456 5570 7241 11140 13925 14482 22280 27850 28964 36205 55700 57928 72410 111400 144820 181025 289640 362050 724100 836971 1448200 1673942 3347884 4184855 6695768 8369710 10880623 16739420 20924275 21761246 33478840 41848550 43522492 54403115 83697100 87044984 108806230 167394200 217612460 272015575 435224920 466192847 544031150 932385694 1088062300 1864771388 2176124600 2330964235 3729542776 4661928470 6060507011 9323856940 11654821175 12121014022 18647713880 23309642350 24242028044 30302535055 46619284700 48484056088 60605070110 93238569400 121210140220 151512675275 242420280440 303025350550 606050701100 1212101402200