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120221202112 = 26112714631361
BaseRepresentation
bin110111111110110111…
…1011111011011000000
3102111022102101211202021
41233331233133123000
53432203111431422
6131121233331224
711454123233344
oct1577557373300
9374272354667
10120221202112
1146a92809590
121b371a06b14
13b44bc85cab
145b66887624
1531d95ebdc7
hex1bfdbdf6c0

120221202112 has 112 divisors (see below), whose sum is σ = 261968431104. Its totient is φ = 54286848000.

The previous prime is 120221202077. The next prime is 120221202113. The reversal of 120221202112 is 211202122021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (120221202113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88332312 + ... + 88333672.

Almost surely, 2120221202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120221202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130984215552).

120221202112 is an abundant number, since it is smaller than the sum of its proper divisors (141747228992).

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

120221202112 is a wasteful number, since it uses less digits than its factorization.

120221202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2108 counting only the distinct ones).

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

Adding to 120221202112 its reverse (211202122021), we get a palindrome (331423324133).

The spelling of 120221202112 in words is "one hundred twenty billion, two hundred twenty-one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 271 352 463 542 704 926 1084 1361 1852 2168 2722 2981 3704 4336 5093 5444 5962 7408 8672 10186 10888 11924 14816 14971 17344 20372 21776 23848 29632 29942 40744 43552 47696 59884 81488 87104 95392 119768 125473 162976 190784 239536 250946 325952 368831 479072 501892 630143 737662 958144 1003784 1260286 1380203 1475324 2007568 2520572 2760406 2950648 4015136 4057141 5041144 5520812 5901296 6931573 8030272 8114282 10082288 11041624 11802592 13863146 16228564 20164576 22083248 23605184 27726292 32457128 40329152 44166496 55452584 64914256 88332992 110905168 129828512 170768753 221810336 259657024 341537506 443620672 683075012 1366150024 1878456283 2732300048 3756912566 5464600096 7513825132 10929200192 15027650264 30055300528 60110601056 120221202112