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120330800420 = 22511371217477
BaseRepresentation
bin111000000010001000…
…1100100110100100100
3102111121001122000100212
41300010101210310210
53432414141103140
6131140150354552
711456623633055
oct1600421446444
9374531560325
10120330800420
11470396663a6
121b3a265ba58
13b4688aa56c
145b7725672c
1531e404a765
hex1c04464d24

120330800420 has 48 divisors (see below), whose sum is σ = 255000817008. Its totient is φ = 47693291520.

The previous prime is 120330800393. The next prime is 120330800449. The reversal of 120330800420 is 24008033021.

It can be written as a sum of positive squares in 8 ways, for example, as 20535463204 + 99795337216 = 143302^2 + 315904^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16089722 + ... + 16097198.

It is an arithmetic number, because the mean of its divisors is an integer number (5312517021).

Almost surely, 2120330800420 is an apocalyptic number.

120330800420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120330800420 is an abundant number, since it is smaller than the sum of its proper divisors (134670016588).

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

120330800420 is a wasteful number, since it uses less digits than its factorization.

120330800420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14720 (or 14718 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 120330800420 its reverse (24008033021), we get a palindrome (144338833441).

The spelling of 120330800420 in words is "one hundred twenty billion, three hundred thirty million, eight hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 7121 7477 14242 14954 28484 29908 35605 37385 71210 74770 142420 149540 804673 844901 1609346 1689802 3218692 3379604 4023365 4224505 8046730 8449010 16093460 16898020 53243717 106487434 212974868 266218585 532437170 1064874340 6016540021 12033080042 24066160084 30082700105 60165400210 120330800420