Search a number
-
+
121013201120 = 2557472638741
BaseRepresentation
bin111000010110011110…
…0101110100011100000
3102120100121200120010212
41300230330232203200
53440313334413440
6131332004513252
711512551144350
oct1605474564340
9376317616125
10121013201120
1147359885119
121b5530ab828
13b547097166
145bddb2cb60
153233de3465
hex1c2cf2e8e0

121013201120 has 192 divisors, whose sum is σ = 334994558976. Its totient is φ = 40448440320.

The previous prime is 121013201107. The next prime is 121013201123. The reversal of 121013201120 is 21102310121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121013201095 and 121013201104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121013201123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13839950 + ... + 13848690.

It is an arithmetic number, because the mean of its divisors is an integer number (1744763328).

Almost surely, 2121013201120 is an apocalyptic number.

121013201120 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 121013201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167497279488).

121013201120 is an abundant number, since it is smaller than the sum of its proper divisors (213981357856).

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

121013201120 is a wasteful number, since it uses less digits than its factorization.

121013201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9073 (or 9065 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 121013201120 its reverse (21102310121), we get a palindrome (142115511241).

The spelling of 121013201120 in words is "one hundred twenty-one billion, thirteen million, two hundred one thousand, one hundred twenty".