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121200220120 = 235723113115227
BaseRepresentation
bin111000011100000011…
…0001001011111011000
3102120211122121002222111
41300320012021133120
53441204224020440
6131402325202104
711520311605300
oct1607006113730
9376748532874
10121200220120
1147445401281
121b5a5860334
13b576a57aa5
145c1a8d2600
1532455364ea
hex1c381897d8

121200220120 has 192 divisors, whose sum is σ = 329977359360. Its totient is φ = 39904300800.

The previous prime is 121200220109. The next prime is 121200220123. The reversal of 121200220120 is 21022002121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 121200220120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121200220123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7951947 + ... + 7967173.

It is an arithmetic number, because the mean of its divisors is an integer number (1718632080).

Almost surely, 2121200220120 is an apocalyptic number.

121200220120 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 121200220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164988679680).

121200220120 is an abundant number, since it is smaller than the sum of its proper divisors (208777139240).

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

121200220120 is a wasteful number, since it uses less digits than its factorization.

121200220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15414 (or 15403 counting only the distinct ones).

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

Adding to 121200220120 its reverse (21022002121), we get a palindrome (142222222241).

The spelling of 121200220120 in words is "one hundred twenty-one billion, two hundred million, two hundred twenty thousand, one hundred twenty".