Search a number
-
+
1202121200112 = 2437191132116633
BaseRepresentation
bin10001011111100100000…
…000011101000111110000
311020220212220010020111120
4101133210000131013300
5124143421011400422
62320125153142240
7152564453414640
oct21374400350760
94226786106446
101202121200112
114238a9095138
12174b8bb5a980
1389489bb92c1
144227c132520
152140b03e45c
hex117e401d1f0

1202121200112 has 160 divisors (see below), whose sum is σ = 3736470136320. Its totient is φ = 325337886720.

The previous prime is 1202121200047. The next prime is 1202121200213. The reversal of 1202121200112 is 2110021212021.

It is a junction number, because it is equal to n+sod(n) for n = 1202121200091 and 1202121200100.

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, 72264948 + ... + 72281580.

It is an arithmetic number, because the mean of its divisors is an integer number (23352938352).

Almost surely, 21202121200112 is an apocalyptic number.

1202121200112 is a gapful number since it is divisible by the number (12) 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 1202121200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868235068160).

1202121200112 is an abundant number, since it is smaller than the sum of its proper divisors (2534348936208).

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

1202121200112 is a wasteful number, since it uses less digits than its factorization.

1202121200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27991 (or 27985 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1202121200112 its reverse (2110021212021), we get a palindrome (3312142412133).

The spelling of 1202121200112 in words is "one trillion, two hundred two billion, one hundred twenty-one million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 11321 16633 22642 33266 33963 45284 49899 66532 67926 79247 90568 99798 116431 133064 135852 158494 181136 199596 215099 232862 237741 266128 271704 316027 316988 349293 399192 430198 465724 475482 543408 632054 633976 645297 698586 798384 860396 931448 948081 950964 1264108 1267952 1290594 1397172 1505693 1720792 1862896 1896162 1901928 2212189 2528216 2581188 2794344 3011386 3441584 3792324 3803856 4424378 4517079 5056432 5162376 5588688 6022772 6636567 7584648 8848756 9034158 10324752 12045544 13273134 15169296 17697512 18068316 24091088 26546268 35395024 36136632 53092536 72273264 106185072 188302193 376604386 564906579 753208772 1129813158 1318115351 1506417544 2259626316 2636230702 3012835088 3577741667 3954346053 4519252632 5272461404 7155483334 7908692106 9038505264 10544922808 10733225001 14310966668 15817384212 21089845616 21466450002 25044191669 28621933336 31634768424 42932900004 50088383338 57243866672 63269536848 75132575007 85865800008 100176766676 150265150014 171731600016 200353533352 300530300028 400707066704 601060600056 1202121200112