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122043555040 = 2551185381293
BaseRepresentation
bin111000110101001011…
…1001101110011100000
3102200000102110222000011
41301222113031303200
53444421122230130
6132022132534304
711550232046551
oct1615227156340
9380012428004
10122043555040
1147838450290
121b7a0181394
13b67c6a1434
145c9a8dc328
1532945bd52a
hex1c6a5cdce0

122043555040 has 96 divisors (see below), whose sum is σ = 314912144736. Its totient is φ = 44326901760.

The previous prime is 122043555017. The next prime is 122043555041. The reversal of 122043555040 is 40555340221.

It is a junction number, because it is equal to n+sod(n) for n = 122043554993 and 122043555011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122043555041) 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 15 ways as a sum of consecutive naturals, for example, 1460634 + ... + 1541926.

It is an arithmetic number, because the mean of its divisors is an integer number (3280334841).

Almost surely, 2122043555040 is an apocalyptic number.

122043555040 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 122043555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157456072368).

122043555040 is an abundant number, since it is smaller than the sum of its proper divisors (192868589696).

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

122043555040 is a wasteful number, since it uses less digits than its factorization.

122043555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82172 (or 82164 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 122043555040 its reverse (40555340221), we get a palindrome (162598895261).

The spelling of 122043555040 in words is "one hundred twenty-two billion, forty-three million, five hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 853 880 1706 1760 3412 4265 6824 8530 9383 13648 17060 18766 27296 34120 37532 46915 68240 75064 81293 93830 136480 150128 162586 187660 300256 325172 375320 406465 650344 750640 812930 894223 1300688 1501280 1625860 1788446 2601376 3251720 3576892 4471115 6503440 7153784 8942230 13006880 14307568 17884460 28615136 35768920 69342929 71537840 138685858 143075680 277371716 346714645 554743432 693429290 762772219 1109486864 1386858580 1525544438 2218973728 2773717160 3051088876 3813861095 5547434320 6102177752 7627722190 11094868640 12204355504 15255444380 24408711008 30510888760 61021777520 122043555040