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42032220121120 = 255607680363617
BaseRepresentation
bin10011000111010011000111…
…00011001010100000100000
312111211020111200121121021211
421203221203203022200200
521002123441322333440
6225221200234155504
711565504412052005
oct1143514343124040
9174736450547254
1042032220121120
1112435845531829
12486a161582b94
131a5b81014bb58
14a545281ab8ac
154cd54b6b6eea
hex263a638ca820

42032220121120 has 96 divisors (see below), whose sum is σ = 99480897750528. Its totient is φ = 16782458585088.

The previous prime is 42032220121117. The next prime is 42032220121181. The reversal of 42032220121120 is 2112102223024.

It is a junction number, because it is equal to n+sod(n) for n = 42032220121091 and 42032220121100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660675552 + ... + 660739168.

It is an arithmetic number, because the mean of its divisors is an integer number (1036259351568).

Almost surely, 242032220121120 is an apocalyptic number.

42032220121120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42032220121120 is an abundant number, since it is smaller than the sum of its proper divisors (57448677629408).

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

42032220121120 is a wasteful number, since it uses less digits than its factorization.

42032220121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71042 (or 71034 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 42032220121120 its reverse (2112102223024), we get a palindrome (44144322344144).

The spelling of 42032220121120 in words is "forty-two trillion, thirty-two billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 607 1214 2428 3035 4856 6070 6803 9712 12140 13606 19424 24280 27212 34015 48560 54424 63617 68030 97120 108848 127234 136060 217696 254468 272120 318085 508936 544240 636170 1017872 1088480 1272340 2035744 2544680 4129421 5089360 8258842 10178720 16517684 20647105 33035368 38615519 41294210 66070736 77231038 82588420 132141472 154462076 165176840 193077595 308924152 330353680 386155190 432786451 617848304 660707360 772310380 865572902 1235696608 1544620760 1731145804 2163932255 3089241520 3462291608 4327864510 6178483040 6924583216 8655729020 13849166432 17311458040 34622916080 69245832160 262701375757 525402751514 1050805503028 1313506878785 2101611006056 2627013757570 4203222012112 5254027515140 8406444024224 10508055030280 21016110060560 42032220121120