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120000121100 = 225261118716573
BaseRepresentation
bin110111111000010010…
…0001000100100001100
3102110202000101202121122
41233300210020210030
53431230012333400
6131043255020112
711445500125316
oct1576044104414
9373660352548
10120000121100
1146989a38102
121b30b96a638
13b41522a522
145b453787b6
1531c4ecb685
hex1bf090890c

120000121100 has 72 divisors (see below), whose sum is σ = 264908076048. Its totient is φ = 47170540800.

The previous prime is 120000121099. The next prime is 120000121117. The reversal of 120000121100 is 1121000021.

120000121100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7232414 + ... + 7248986.

It is an arithmetic number, because the mean of its divisors is an integer number (3679278834).

Almost surely, 2120000121100 is an apocalyptic number.

120000121100 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 120000121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132454038024).

120000121100 is an abundant number, since it is smaller than the sum of its proper divisors (144907954948).

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

120000121100 is a wasteful number, since it uses less digits than its factorization.

120000121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17835 (or 17828 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120000121100 its reverse (1121000021), we get a palindrome (121121121121).

The spelling of 120000121100 in words is "one hundred twenty billion, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1187 1220 1525 2374 3050 4748 5935 6100 11870 16573 23740 29675 33146 59350 66292 72407 82865 118700 144814 165730 289628 331460 362035 414325 724070 828650 1010953 1448140 1657300 1810175 2021906 3620350 4043812 5054765 7240700 10109530 19672151 20219060 25273825 39344302 50547650 78688604 98360755 101095300 196721510 393443020 491803775 983607550 1200001211 1967215100 2400002422 4800004844 6000006055 12000012110 24000024220 30000030275 60000060550 120000121100