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123220102212 = 223210133888917
BaseRepresentation
bin111001011000001111…
…1011000110001000100
3102210001102100202022100
41302300133120301010
54004323321232322
6132335002232100
711621336405334
oct1626037306104
9383042322270
10123220102212
1148291598619
121ba6a1b5630
13b8093739ac
145d6cc850c4
153312a24dac
hex1cb07d8c44

123220102212 has 36 divisors (see below), whose sum is σ = 314556936876. Its totient is φ = 40666699200.

The previous prime is 123220102211. The next prime is 123220102249. The reversal of 123220102212 is 212201022321.

It can be written as a sum of positive squares in 2 ways, for example, as 67119337476 + 56100764736 = 259074^2 + 236856^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (123220102211) 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 11 ways as a sum of consecutive naturals, for example, 16940823 + ... + 16948094.

It is an arithmetic number, because the mean of its divisors is an integer number (8737692691).

Almost surely, 2123220102212 is an apocalyptic number.

123220102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123220102212 is an abundant number, since it is smaller than the sum of its proper divisors (191336834664).

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

123220102212 is a wasteful number, since it uses less digits than its factorization.

123220102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33889028 (or 33889023 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 123220102212 its reverse (212201022321), we get a palindrome (335421124533).

The spelling of 123220102212 in words is "one hundred twenty-three billion, two hundred twenty million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 33888917 67777834 101666751 135555668 203333502 305000253 406667004 610000506 1220001012 3422780617 6845561234 10268341851 13691122468 20536683702 30805025553 41073367404 61610051106 123220102212