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121211000001 = 327133767227263
BaseRepresentation
bin111000011100010111…
…1010001010011000001
3102120212101212210012100
41300320233101103001
53441220004000001
6131403352221013
711520502333440
oct1607057212301
9376771783170
10121211000001
11474504a4373
121b5a939a769
13b579060610
145c1c0dad57
153246465586
hex1c38bd14c1

121211000001 has 192 divisors, whose sum is σ = 226460602368. Its totient is φ = 60777091584.

The previous prime is 121210999999. The next prime is 121211000041. The reversal of 121211000001 is 100000112121.

It is a happy number.

It is not a de Polignac number, because 121211000001 - 21 = 121210999999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (121211000041) 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 191 ways as a sum of consecutive naturals, for example, 460878196 + ... + 460878458.

It is an arithmetic number, because the mean of its divisors is an integer number (1179482304).

Almost surely, 2121211000001 is an apocalyptic number.

It is an amenable number.

121211000001 is a deficient number, since it is larger than the sum of its proper divisors (105249602367).

121211000001 is a wasteful number, since it uses less digits than its factorization.

121211000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121211000001 its reverse (100000112121), we get a palindrome (221211112122).

It can be divided in two parts, 12121 and 1000001, that multiplied together give a palindrome (12121012121).

The spelling of 121211000001 in words is "one hundred twenty-one billion, two hundred eleven million, one", and thus it is an aban number.