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12320200420440 = 2335119333485167
BaseRepresentation
bin1011001101001000010100…
…1010110110110001011000
31121121210120221122210221120
42303102011022312301120
53103323232301423230
642111453312205240
72411051023460043
oct263220512666130
947553527583846
1012320200420440
113a1aa70a4aa50
12146b8a2239820
136b4a365998a3
1430842d897c5a
15165723c39310
hexb34852b6c58

12320200420440 has 64 divisors (see below), whose sum is σ = 40320655925760. Its totient is φ = 2986715253120.

The previous prime is 12320200420439. The next prime is 12320200420441. The reversal of 12320200420440 is 4402400202321.

It is an interprime number because it is at equal distance from previous prime (12320200420439) and next prime (12320200420441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12320200420440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320200420441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4666741264 + ... + 4666743903.

It is an arithmetic number, because the mean of its divisors is an integer number (630010248840).

Almost surely, 212320200420440 is an apocalyptic number.

12320200420440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320200420440 is an abundant number, since it is smaller than the sum of its proper divisors (28000455505320).

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

12320200420440 is a wasteful number, since it uses less digits than its factorization.

12320200420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9333485192 (or 9333485188 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12320200420440 its reverse (4402400202321), we get a palindrome (16722600622761).

The spelling of 12320200420440 in words is "twelve trillion, three hundred twenty billion, two hundred million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9333485167 18666970334 28000455501 37333940668 46667425835 56000911002 74667881336 93334851670 102668336837 112001822004 140002277505 186669703340 205336673674 224003644008 280004555010 308005010511 373339406680 410673347348 513341684185 560009110020 616010021022 821346694696 1026683368370 1120018220040 1232020042044 1540025052555 2053366736740 2464040084088 3080050105110 4106733473480 6160100210220 12320200420440