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120144011020 = 225111312141621
BaseRepresentation
bin110111111100100100…
…1000001111100001100
3102111010001011010110221
41233321021001330030
53432023331323040
6131105435041124
711452165146415
oct1577111017414
9374101133427
10120144011020
1146a531867a0
121b34bba01a4
13b438c9a2a7
145b5a51280c
1531d295074a
hex1bf9241f0c

120144011020 has 48 divisors (see below), whose sum is σ = 275266597536. Its totient is φ = 43684352000.

The previous prime is 120144010979. The next prime is 120144011023. The reversal of 120144011020 is 20110441021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120144010985 and 120144011003.

It is not an unprimeable number, because it can be changed into a prime (120144011023) 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, 2865810 + ... + 2907430.

It is an arithmetic number, because the mean of its divisors is an integer number (5734720782).

Almost surely, 2120144011020 is an apocalyptic number.

120144011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120144011020 is an abundant number, since it is smaller than the sum of its proper divisors (155122586516).

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

120144011020 is a wasteful number, since it uses less digits than its factorization.

120144011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54762 (or 54760 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120144011020 its reverse (20110441021), we get a palindrome (140254452041).

The spelling of 120144011020 in words is "one hundred twenty billion, one hundred forty-four million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 13121 26242 41621 52484 65605 83242 131210 144331 166484 208105 262420 288662 416210 457831 577324 721655 832420 915662 1443310 1831324 2289155 2886620 4578310 9156620 546109141 1092218282 2184436564 2730545705 5461091410 6007200551 10922182820 12014401102 24028802204 30036002755 60072005510 120144011020