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123133230120 = 233547172312671
BaseRepresentation
bin111001010101101001…
…1111111110000101000
3102202211100220012012110
41302223103333300220
54004134101330440
6132322220242320
711616233121045
oct1625323776050
9382740805173
10123133230120
11482475532aa
121ba450a03a0
13b7c43786a4
145d615101cc
15330a0b5080
hex1cab4ffc28

123133230120 has 128 divisors (see below), whose sum is σ = 377508003840. Its totient is φ = 32115713280.

The previous prime is 123133230107. The next prime is 123133230127. The reversal of 123133230120 is 21032331321.

123133230120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (123133230127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9711385 + ... + 9724055.

It is an arithmetic number, because the mean of its divisors is an integer number (2949281280).

Almost surely, 2123133230120 is an apocalyptic number.

123133230120 is a gapful number since it is divisible by the number (10) 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 123133230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188754001920).

123133230120 is an abundant number, since it is smaller than the sum of its proper divisors (254374773720).

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

123133230120 is a wasteful number, since it uses less digits than its factorization.

123133230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14455 (or 14451 counting only the distinct ones).

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

Adding to 123133230120 its reverse (21032331321), we get a palindrome (144165561441).

The spelling of 123133230120 in words is "one hundred twenty-three billion, one hundred thirty-three million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1723 1880 2820 3446 5169 5640 6892 8615 10338 12671 13784 17230 20676 25342 25845 34460 38013 41352 50684 51690 63355 68920 76026 80981 101368 103380 126710 152052 161962 190065 206760 242943 253420 304104 323924 380130 404905 485886 506840 595537 647848 760260 809810 971772 1191074 1214715 1520520 1619620 1786611 1943544 2382148 2429430 2977685 3239240 3573222 4764296 4858860 5955370 7146444 8933055 9717720 11910740 14292888 17866110 21832133 23821480 35732220 43664266 65496399 71464440 87328532 109160665 130992798 174657064 218321330 261985596 327481995 436642660 523971192 654963990 873285320 1026110251 1309927980 2052220502 2619855960 3078330753 4104441004 5130551255 6156661506 8208882008 10261102510 12313323012 15391653765 20522205020 24626646024 30783307530 41044410040 61566615060 123133230120