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121001111120 = 24512891173401
BaseRepresentation
bin111000010110000111…
…0100110111001010000
3102120022202221022210002
41300230032212321100
53440302241023440
6131330453425132
711512343321501
oct1605416467120
9376282838702
10121001111120
1147352a7778a
121b54b03b1a8
13b544723206
145bdc2a2ba8
153232d06115
hex1c2c3a6e50

121001111120 has 40 divisors (see below), whose sum is σ = 281546075880. Its totient is φ = 48362854400.

The previous prime is 121001111069. The next prime is 121001111131. The reversal of 121001111120 is 21111100121.

It can be written as a sum of positive squares in 4 ways, for example, as 58248857104 + 62752254016 = 241348^2 + 250504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 483581 + ... + 689820.

It is an arithmetic number, because the mean of its divisors is an integer number (7038651897).

Almost surely, 2121001111120 is an apocalyptic number.

121001111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121001111120 is an abundant number, since it is smaller than the sum of its proper divisors (160544964760).

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

121001111120 is a wasteful number, since it uses less digits than its factorization.

121001111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174703 (or 1174697 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 121001111120 its reverse (21111100121), we get a palindrome (142112211241).

The spelling of 121001111120 in words is "one hundred twenty-one billion, one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1289 2578 5156 6445 10312 12890 20624 25780 51560 103120 1173401 2346802 4693604 5867005 9387208 11734010 18774416 23468020 46936040 93872080 1512513889 3025027778 6050055556 7562569445 12100111112 15125138890 24200222224 30250277780 60500555560 121001111120