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123030312312 = 23331377361223
BaseRepresentation
bin111001010010100101…
…1011001010101111000
3102202120012020102111210
41302211023121111320
54003431224443222
6132304102323120
711613543254115
oct1624513312570
9382505212453
10123030312312
11481a4449666
121ba167294a0
13b7a8c52a8b
145d5199d90c
153301035d0c
hex1ca52d9578

123030312312 has 128 divisors (see below), whose sum is σ = 330550824960. Its totient is φ = 38084981760.

The previous prime is 123030312311. The next prime is 123030312313. The reversal of 123030312312 is 213213030321.

123030312312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (123030312311) and next prime (123030312313).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123030312311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1978933 + ... + 2040155.

It is an arithmetic number, because the mean of its divisors is an integer number (2582428320).

Almost surely, 2123030312312 is an apocalyptic number.

123030312312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123030312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165275412480).

123030312312 is an abundant number, since it is smaller than the sum of its proper divisors (207520512648).

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

123030312312 is a wasteful number, since it uses less digits than its factorization.

123030312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61373 (or 61369 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 123030312312 its reverse (213213030321), we get a palindrome (336243342633).

The spelling of 123030312312 in words is "one hundred twenty-three billion, thirty million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 73 74 93 111 124 146 148 186 219 222 248 292 296 372 438 444 584 744 876 888 1147 1752 2263 2294 2701 3441 4526 4588 5402 6789 6882 8103 9052 9176 10804 13578 13764 16206 18104 21608 27156 27528 32412 54312 61223 64824 83731 122446 167462 183669 244892 251193 334924 367338 489784 502386 669848 734676 1004772 1469352 1897913 2009544 2265251 3795826 4469279 4530502 5693739 6795753 7591652 8938558 9061004 11387478 13407837 13591506 15183304 17877116 18122008 22774956 26815674 27183012 35754232 45549912 53631348 54366024 70222781 107262696 138547649 140445562 165363323 210668343 277095298 280891124 330726646 415642947 421336686 496089969 554190596 561782248 661453292 831285894 842673372 992179938 1108381192 1322906584 1662571788 1685346744 1984359876 3325143576 3968719752 5126263013 10252526026 15378789039 20505052052 30757578078 41010104104 61515156156 123030312312