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120012450640 = 2451788244449
BaseRepresentation
bin110111111000101001…
…1001010101101010000
3102110202212121011120021
41233301103022231100
53431241141410030
6131044415153224
711446006666435
oct1576123125520
9373685534507
10120012450640
1146995999505
121b313b15814
13b417956504
145b46c67b8c
1531c611497a
hex1bf14cab50

120012450640 has 40 divisors (see below), whose sum is σ = 295442418600. Its totient is φ = 45181157376.

The previous prime is 120012450631. The next prime is 120012450641. The reversal of 120012450640 is 46054210021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 43767987264 + 76244463376 = 209208^2 + 276124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012450641) 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 7 ways as a sum of consecutive naturals, for example, 44120865 + ... + 44123584.

It is an arithmetic number, because the mean of its divisors is an integer number (7386060465).

Almost surely, 2120012450640 is an apocalyptic number.

120012450640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120012450640 is an abundant number, since it is smaller than the sum of its proper divisors (175429967960).

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

120012450640 is a wasteful number, since it uses less digits than its factorization.

120012450640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88244479 (or 88244473 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 120012450640 its reverse (46054210021), we get a palindrome (166066660661).

The spelling of 120012450640 in words is "one hundred twenty billion, twelve million, four hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 88244449 176488898 352977796 441222245 705955592 882444490 1411911184 1500155633 1764888980 3000311266 3529777960 6000622532 7059555920 7500778165 12001245064 15001556330 24002490128 30003112660 60006225320 120012450640