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220120122100122 = 23212228895672229
BaseRepresentation
bin110010000011001010110101…
…101011111000100110011010
31001212101021111210000111121100
4302003022311223320212122
5212322422002224200442
62100053442121052230
764236103553341026
oct6203126553704632
91055337453014540
10220120122100122
11641564684510a2
1220830907627076
1395a9313b3aa6a
143c4dc294cd386
151a6ac6999884c
hexc832b5af899a

220120122100122 has 12 divisors (see below), whose sum is σ = 476926931216970. Its totient is φ = 73373374033368.

The previous prime is 220120122100111. The next prime is 220120122100127. The reversal of 220120122100122 is 221001221021022.

It is a happy number.

220120122100122 is a `hidden beast` number, since 220 + 1 + 201 + 22 + 100 + 122 = 666.

220120122100122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 110678374303641 + 109441747796481 = 10520379^2 + 10461441^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12228895672229 = 220120122100122 / (2 + 2 + 0 + 1 + 2 + 0 + 1 + 2 + 2 + 1 + 0 + 0 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 220120122100095 and 220120122100104.

It is not an unprimeable number, because it can be changed into a prime (220120122100127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6114447836097 + ... + 6114447836132.

Almost surely, 2220120122100122 is an apocalyptic number.

220120122100122 is an abundant number, since it is smaller than the sum of its proper divisors (256806809116848).

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

220120122100122 is a wasteful number, since it uses less digits than its factorization.

220120122100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12228895672237 (or 12228895672234 counting only the distinct ones).

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

Adding to 220120122100122 its reverse (221001221021022), we get a palindrome (441121343121144).

The spelling of 220120122100122 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred twenty-two million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 12228895672229 24457791344458 36686687016687 73373374033374 110060061050061 220120122100122