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120200221120 = 2657505910607
BaseRepresentation
bin110111111110001111…
…1011101000111000000
3102111020221220220020111
41233330133131013000
53432132224033440
6131115203521104
711453450010310
oct1577437350700
9374227826214
10120200221120
1146a81989221
121b366989194
13b44781b1c5
145b63b85440
1531d78554ea
hex1bfc7dd1c0

120200221120 has 112 divisors (see below), whose sum is σ = 327211822080. Its totient is φ = 41199473664.

The previous prime is 120200221091. The next prime is 120200221157. The reversal of 120200221120 is 21122002021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 120200221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11326857 + ... + 11337463.

Almost surely, 2120200221120 is an apocalyptic number.

120200221120 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 120200221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163605911040).

120200221120 is an abundant number, since it is smaller than the sum of its proper divisors (207011600960).

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

120200221120 is a wasteful number, since it uses less digits than its factorization.

120200221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15690 (or 15680 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120200221120 its reverse (21122002021), we get a palindrome (141322223141).

The spelling of 120200221120 in words is "one hundred twenty billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 5059 10118 10607 20236 21214 25295 35413 40472 42428 50590 53035 70826 74249 80944 84856 101180 106070 141652 148498 161888 169712 177065 202360 212140 283304 296996 323776 339424 354130 371245 404720 424280 566608 593992 678848 708260 742490 809440 848560 1133216 1187984 1416520 1484980 1618880 1697120 2266432 2375968 2833040 2969960 3394240 4751936 5666080 5939920 11332160 11879840 23759680 53660813 107321626 214643252 268304065 375625691 429286504 536608130 751251382 858573008 1073216260 1502502764 1717146016 1878128455 2146432520 3005005528 3434292032 3756256910 4292865040 6010011056 7512513820 8585730080 12020022112 15025027640 17171460160 24040044224 30050055280 60100110560 120200221120