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121102202112 = 283733215123
BaseRepresentation
bin111000011001001000…
…0001111010100000000
3102120120211011021112220
41300302100033110000
53441004130431422
6131344504251040
711515011506433
oct1606220172400
9376524137486
10121102202112
11473a5043961
121b578a70a80
13b55c659478
145c0b89981a
15323bb23e5c
hex1c3240f500

121102202112 has 72 divisors (see below), whose sum is σ = 322749676704. Its totient is φ = 40312141824.

The previous prime is 121102202063. The next prime is 121102202131. The reversal of 121102202112 is 211202201121.

It is a junction number, because it is equal to n+sod(n) for n = 121102202091 and 121102202100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455383 + ... + 670505.

Almost surely, 2121102202112 is an apocalyptic number.

121102202112 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 121102202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161374838352).

121102202112 is an abundant number, since it is smaller than the sum of its proper divisors (201647474592).

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

121102202112 is an equidigital number, since it uses as much as digits as its factorization.

121102202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215875 (or 215861 counting only the distinct ones).

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

Adding to 121102202112 its reverse (211202201121), we get a palindrome (332304403233).

Subtracting 121102202112 from its reverse (211202201121), we obtain a palindrome (90099999009).

The spelling of 121102202112 in words is "one hundred twenty-one billion, one hundred two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 733 768 1466 2199 2932 4398 5864 8796 11728 17592 23456 35184 46912 70368 93824 140736 187648 215123 281472 430246 562944 645369 860492 1290738 1720984 2581476 3441968 5162952 6883936 10325904 13767872 20651808 27535744 41303616 55071488 82607232 157685159 165214464 315370318 473055477 630740636 946110954 1261481272 1892221908 2522962544 3784443816 5045925088 7568887632 10091850176 15137775264 20183700352 30275550528 40367400704 60551101056 121102202112