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123212122029 = 342296642521
BaseRepresentation
bin111001011000000000…
…0111100011110101101
3102210000212100022120000
41302300000330132231
54004314300401104
6132334115214513
711621211520443
oct1626000743655
9383025308500
10123212122029
1148288037a27
121ba675a7439
13b80780b5a9
145d6bba8b93
153311e9a639
hex1cb003c7ad

123212122029 has 20 divisors (see below), whose sum is σ = 184861387260. Its totient is φ = 81782706240.

The previous prime is 123212121979. The next prime is 123212122031. The reversal of 123212122029 is 920221212321.

It can be written as a sum of positive squares in 2 ways, for example, as 92111036004 + 31101086025 = 303498^2 + 176355^2 .

It is not a de Polignac number, because 123212122029 - 212 = 123212117933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123212121993 and 123212122011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123212122829) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3302712 + ... + 3339809.

It is an arithmetic number, because the mean of its divisors is an integer number (9243069363).

Almost surely, 2123212122029 is an apocalyptic number.

It is an amenable number.

123212122029 is a deficient number, since it is larger than the sum of its proper divisors (61649265231).

123212122029 is an equidigital number, since it uses as much as digits as its factorization.

123212122029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6642762 (or 6642753 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 123212122029 in words is "one hundred twenty-three billion, two hundred twelve million, one hundred twenty-two thousand, twenty-nine".

Divisors: 1 3 9 27 81 229 687 2061 6183 18549 6642521 19927563 59782689 179348067 538044201 1521137309 4563411927 13690235781 41070707343 123212122029