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120121222122 = 232116011009439
BaseRepresentation
bin110111111011111001…
…0000110001111101010
3102111001110021022222200
41233313302012033222
53432002013101442
6131103302401030
711451500353446
oct1576762061752
9374043238880
10120121222122
1146a413310a0
121b344430176
13b43434b635
145b5749d826
1531d094d34c
hex1bf7c863ea

120121222122 has 48 divisors (see below), whose sum is σ = 284395587840. Its totient is φ = 36339768000.

The previous prime is 120121222093. The next prime is 120121222139. The reversal of 120121222122 is 221222121021.

It is a happy number.

120121222122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 120121222095 and 120121222104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385722 + ... + 623717.

It is an arithmetic number, because the mean of its divisors is an integer number (5924908080).

Almost surely, 2120121222122 is an apocalyptic number.

120121222122 is an abundant number, since it is smaller than the sum of its proper divisors (164274365718).

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

120121222122 is a wasteful number, since it uses less digits than its factorization.

120121222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010059 (or 1010056 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120121222122 its reverse (221222121021), we get a palindrome (341343343143).

It can be divided in two parts, 120121 and 222122, that added together give a palindrome (342243).

The spelling of 120121222122 in words is "one hundred twenty billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 601 1202 1803 3606 5409 6611 10818 13222 19833 39666 59499 118998 1009439 2018878 3028317 6056634 9084951 11103829 18169902 22207658 33311487 66622974 99934461 199868922 606672839 1213345678 1820018517 3640037034 5460055551 6673401229 10920111102 13346802458 20020203687 40040407374 60060611061 120121222122