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123210011121201 = 32371519227265561
BaseRepresentation
bin11100000000111100010000…
…111100100001011000110001
3121011020202120112000122102200
4130000330100330201120301
5112122133100321334301
61114013521523333413
734644425635416444
oct3400742074413061
9534222515018380
10123210011121201
1136293088221674
121199ab13521269
13539986735b1a4
14225d57986365b
15e39e96176c86
hex700f10f21631

123210011121201 has 48 divisors (see below), whose sum is σ = 184011113539968. Its totient is φ = 79381832544000.

The previous prime is 123210011121191. The next prime is 123210011121287. The reversal of 123210011121201 is 102121110012321.

It is a happy number.

123210011121201 is a `hidden beast` number, since 1 + 232 + 100 + 11 + 121 + 201 = 666.

It is a de Polignac number, because none of the positive numbers 2k-123210011121201 is a prime.

It is a super-2 number, since 2×1232100111212012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123210011123201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463828461 + ... + 464094021.

It is an arithmetic number, because the mean of its divisors is an integer number (3833564865416).

Almost surely, 2123210011121201 is an apocalyptic number.

It is an amenable number.

123210011121201 is a deficient number, since it is larger than the sum of its proper divisors (60801102418767).

123210011121201 is a wasteful number, since it uses less digits than its factorization.

123210011121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274982 (or 274979 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 123210011121201 its reverse (102121110012321), we get a palindrome (225331121133522).

The spelling of 123210011121201 in words is "one hundred twenty-three trillion, two hundred ten billion, eleven million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 37 111 151 333 453 1359 5587 9227 16761 27681 50283 83043 265561 341399 796683 1024197 1393277 2390049 3072591 4179831 9825757 12539493 29477271 40099711 51551249 88431813 120299133 154653747 360897399 463961241 1483689307 2450331347 4451067921 7350994041 13353203763 22052982123 90662259839 271986779517 370000033397 815960338551 1110000100191 3330000300573 13690001235689 41070003707067 123210011121201