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121001232100 = 225272194727653
BaseRepresentation
bin111000010110000111…
…1000100011011100100
3102120022210011110201211
41300230033010123210
53440302303411400
6131330500201204
711512344334300
oct1605417043344
9376283143654
10121001232100
114735304a671
121b54b099204
13b5447662b8
145bdc2d4d00
153232d2bdba
hex1c2c3c46e4

121001232100 has 216 divisors, whose sum is σ = 328370232960. Its totient is φ = 38465038080.

The previous prime is 121001232067. The next prime is 121001232103. The reversal of 121001232100 is 1232100121.

It is not an unprimeable number, because it can be changed into a prime (121001232103) 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 71 ways as a sum of consecutive naturals, for example, 4361874 + ... + 4389526.

It is an arithmetic number, because the mean of its divisors is an integer number (1520232560).

Almost surely, 2121001232100 is an apocalyptic number.

121001232100 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 121001232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164185116480).

121001232100 is an abundant number, since it is smaller than the sum of its proper divisors (207369000860).

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

121001232100 is a wasteful number, since it uses less digits than its factorization.

121001232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27747 (or 27733 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 121001232100 its reverse (1232100121), we get a palindrome (122233332221).

It can be divided in two parts, 12100 and 1232100, that multiplied together give a square (14908410000 = 1221002).

The spelling of 121001232100 in words is "one hundred twenty-one billion, one million, two hundred thirty-two thousand, one hundred".