Search a number
-
+
121201110012222 = 2323726271784321
BaseRepresentation
bin11011100011101101010101…
…000110111101000100111110
3120220010201020202011121102200
4123203231111012331010332
5111341224333130342342
61105435004332532330
734346330330633352
oct3343552506750476
9526121222147380
10121201110012222
1135689113993979
12117157066210a6
1352822a598c636
1421d0244b81462
15e02abba0394c
hex6e3b551bd13e

121201110012222 has 72 divisors (see below), whose sum is σ = 269934970136832. Its totient is φ = 39302149708800.

The previous prime is 121201110012173. The next prime is 121201110012289. The reversal of 121201110012222 is 222210011102121.

121201110012222 is a `hidden beast` number, since 121 + 201 + 110 + 0 + 12 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121201110012195 and 121201110012204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154137822 + ... + 154922142.

It is an arithmetic number, because the mean of its divisors is an integer number (3749096807456).

Almost surely, 2121201110012222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121201110012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134967485068416).

121201110012222 is an abundant number, since it is smaller than the sum of its proper divisors (148733860124610).

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

121201110012222 is a wasteful number, since it uses less digits than its factorization.

121201110012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790674 (or 790634 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121201110012222 its reverse (222210011102121), we get a palindrome (343411121114343).

The spelling of 121201110012222 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred ten million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1369 2738 4107 6271 8214 12321 12542 18813 24642 37626 56439 112878 232027 464054 696081 784321 1392162 1568642 2088243 2352963 4176486 4705926 7058889 8584999 14117778 17169998 25754997 29019877 51509994 58039754 77264991 87059631 154529982 174119262 261178893 522357786 1073735449 2147470898 3221206347 4918476991 6442412694 9663619041 9836953982 14755430973 19327238082 29510861946 44266292919 88532585838 181983648667 363967297334 545950946001 1091901892002 1637852838003 3275705676006 6733395000679 13466790001358 20200185002037 40400370004074 60600555006111 121201110012222