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123120425440 = 2554743137987
BaseRepresentation
bin111001010101010001…
…1001001100111100000
3102202210110210122111001
41302222203021213200
54004122312103230
6132321042001344
711616016230445
oct1625243114740
9382713718431
10123120425440
11482402a7a21
121ba40946254
13b7c181435c
145d5d9399cc
153308dd60ca
hex1caa8c99e0

123120425440 has 96 divisors (see below), whose sum is σ = 297757845504. Its totient is φ = 48087237120.

The previous prime is 123120425411. The next prime is 123120425443. The reversal of 123120425440 is 44524021321.

It is a junction number, because it is equal to n+sod(n) for n = 123120425399 and 123120425408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123120425443) by changing a digit.

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, 3222127 + ... + 3260113.

It is an arithmetic number, because the mean of its divisors is an integer number (3101644224).

Almost surely, 2123120425440 is an apocalyptic number.

123120425440 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 123120425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148878922752).

123120425440 is an abundant number, since it is smaller than the sum of its proper divisors (174637420064).

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

123120425440 is a wasteful number, since it uses less digits than its factorization.

123120425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38480 (or 38472 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 123120425440 its reverse (44524021321), we get a palindrome (167644446761).

The spelling of 123120425440 in words is "one hundred twenty-three billion, one hundred twenty million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 431 470 752 862 940 1504 1724 1880 2155 3448 3760 4310 6896 7520 8620 13792 17240 20257 34480 37987 40514 68960 75974 81028 101285 151948 162056 189935 202570 303896 324112 379870 405140 607792 648224 759740 810280 1215584 1519480 1620560 1785389 3038960 3241120 3570778 6077920 7141556 8926945 14283112 16372397 17853890 28566224 32744794 35707780 57132448 65489588 71415560 81861985 130979176 142831120 163723970 261958352 285662240 327447940 523916704 654895880 769502659 1309791760 1539005318 2619583520 3078010636 3847513295 6156021272 7695026590 12312042544 15390053180 24624085088 30780106360 61560212720 123120425440