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123221300312 = 231171103191473
BaseRepresentation
bin111001011000010001…
…1111101010001011000
3102210001111121121210102
41302300203331101120
54004324123102222
6132335044034532
711621352525335
oct1626043752130
9383044547712
10123221300312
1148292236790
121ba6a692a48
13b8096a3126
145d6d0b798c
153312baed92
hex1cb08fd458

123221300312 has 64 divisors (see below), whose sum is σ = 258076316160. Its totient is φ = 54684403200.

The previous prime is 123221300299. The next prime is 123221300317. The reversal of 123221300312 is 213003122321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123221300317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547808 + ... + 739280.

It is an arithmetic number, because the mean of its divisors is an integer number (4032442440).

Almost surely, 2123221300312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123221300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129038158080).

123221300312 is an abundant number, since it is smaller than the sum of its proper divisors (134855015848).

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

123221300312 is a wasteful number, since it uses less digits than its factorization.

123221300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191664 (or 191660 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 123221300312 its reverse (213003122321), we get a palindrome (336224422633).

The spelling of 123221300312 in words is "one hundred twenty-three billion, two hundred twenty-one million, three hundred thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 71 88 103 142 206 284 412 568 781 824 1133 1562 2266 3124 4532 6248 7313 9064 14626 29252 58504 80443 160886 191473 321772 382946 643544 765892 1531784 2106203 4212406 8424812 13594583 16849624 19721719 27189166 39443438 54378332 78886876 108756664 149540413 157773752 216938909 299080826 433877818 598161652 867755636 1196323304 1400242049 1735511272 2800484098 5600968196 11201936392 15402662539 30805325078 61610650156 123221300312