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1202000112200 = 235219253314117
BaseRepresentation
bin10001011111011100110…
…010100010101001001000
311020220120110021100010002
4101133130302202221020
5124143144012042300
62320105145542132
7152561453242646
oct21373462425110
94226513240102
101202000112200
114238467aaa88
12174b574a4948
138946aaa1154
144226a012196
15214005c15d5
hex117dcca2a48

1202000112200 has 144 divisors (see below), whose sum is σ = 3005138635380. Its totient is φ = 446899115520.

The previous prime is 1202000112151. The next prime is 1202000112211. The reversal of 1202000112200 is 22110002021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 506087114404 + 695912997796 = 711398^2 + 834214^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3669542 + ... + 3983658.

Almost surely, 21202000112200 is an apocalyptic number.

1202000112200 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 1202000112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502569317690).

1202000112200 is an abundant number, since it is smaller than the sum of its proper divisors (1803138523180).

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

1202000112200 is a wasteful number, since it uses less digits than its factorization.

1202000112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314224 (or 314196 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1202000112200 its reverse (22110002021), we get a palindrome (1224110114221).

The spelling of 1202000112200 in words is "one trillion, two hundred two billion, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 53 76 95 100 106 152 190 200 212 265 361 380 424 475 530 722 760 950 1007 1060 1325 1444 1805 1900 2014 2120 2650 2888 3610 3800 4028 5035 5300 7220 8056 9025 10070 10600 14440 18050 19133 20140 25175 36100 38266 40280 50350 72200 76532 95665 100700 153064 191330 201400 314117 382660 478325 628234 765320 956650 1256468 1570585 1913300 2512936 3141170 3826600 5968223 6282340 7852925 11936446 12564680 15705850 16648201 23872892 29841115 31411700 33296402 47745784 59682230 62823400 66592804 83241005 113396237 119364460 133185608 149205575 166482010 226792474 238728920 298411150 316315819 332964020 416205025 453584948 566981185 596822300 632631638 665928040 832410050 907169896 1133962370 1193644600 1265263276 1581579095 1664820100 2267924740 2530526552 2834905925 3163158190 3329640200 4535849480 5669811850 6010000561 6326316380 7907895475 11339623700 12020001122 12652632760 15815790950 22679247400 24040002244 30050002805 31631581900 48080004488 60100005610 63263163800 120200011220 150250014025 240400022440 300500028050 601000056100 1202000112200