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123041240120 = 23573223188957
BaseRepresentation
bin111001010010111010…
…1000101010000111000
3102202120221210121122102
41302211311011100320
54003442024140440
6132305132442532
711614035166451
oct1624565052070
9382527717572
10123041240120
11481aa632907
121ba1a319448
13b7ab2aaa36
145d53206128
153301e93b15
hex1ca5d45438

123041240120 has 64 divisors (see below), whose sum is σ = 281895102720. Its totient is φ = 48324363264.

The previous prime is 123041240053. The next prime is 123041240143. The reversal of 123041240120 is 21042140321.

It is a super-2 number, since 2×1230412401202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123041240092 and 123041240101.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 556682 + ... + 745638.

It is an arithmetic number, because the mean of its divisors is an integer number (4404610980).

Almost surely, 2123041240120 is an apocalyptic number.

123041240120 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 123041240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140947551360).

123041240120 is an abundant number, since it is smaller than the sum of its proper divisors (158853862600).

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

123041240120 is a wasteful number, since it uses less digits than its factorization.

123041240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189264 (or 189260 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 123041240120 its reverse (21042140321), we get a palindrome (144083380441).

The spelling of 123041240120 in words is "one hundred twenty-three billion, forty-one million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 223 292 365 446 584 730 892 1115 1460 1784 2230 2920 4460 8920 16279 32558 65116 81395 130232 162790 188957 325580 377914 651160 755828 944785 1511656 1889570 3779140 7558280 13793861 27587722 42137411 55175444 68969305 84274822 110350888 137938610 168549644 210687055 275877220 337099288 421374110 551754440 842748220 1685496440 3076031003 6152062006 12304124012 15380155015 24608248024 30760310030 61520620060 123041240120