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12032420134400 = 29527191307417
BaseRepresentation
bin1010111100011000010000…
…1000001011111000000000
31120121021210001021120102222
42233012010020023320000
53034114344023300100
641331341214030212
72351212405423541
oct257060410137000
946537701246388
1012032420134400
113919a14532706
121423b691a8368
1369386329cc73
142d852d6084c8
1515cece24b485
hexaf18420be00

12032420134400 has 120 divisors (see below), whose sum is σ = 29852745864480. Its totient is φ = 4806270402560.

The previous prime is 12032420134331. The next prime is 12032420134421. The reversal of 12032420134400 is 443102423021.

It is a self number, because there is not a number n which added to its sum of digits gives 12032420134400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8549492 + ... + 9856908.

It is an arithmetic number, because the mean of its divisors is an integer number (248772882204).

Almost surely, 212032420134400 is an apocalyptic number.

12032420134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032420134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14926372932240).

12032420134400 is an abundant number, since it is smaller than the sum of its proper divisors (17820325730080).

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

12032420134400 is an equidigital number, since it uses as much as digits as its factorization.

12032420134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308164 (or 1308143 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12032420134400 its reverse (443102423021), we get a palindrome (12475522557421).

The spelling of 12032420134400 in words is "twelve trillion, thirty-two billion, four hundred twenty million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 719 800 1280 1438 1600 2560 2876 3200 3595 5752 6400 7190 11504 12800 14380 17975 23008 28760 35950 46016 57520 71900 92032 115040 143800 184064 230080 287600 368128 460160 575200 920320 1150400 1307417 1840640 2300800 2614834 4601600 5229668 6537085 9203200 10459336 13074170 20918672 26148340 32685425 41837344 52296680 65370850 83674688 104593360 130741700 167349376 209186720 261483400 334698752 418373440 522966800 669397504 836746880 940032823 1045933600 1673493760 1880065646 2091867200 3346987520 3760131292 4183734400 4700164115 7520262584 8367468800 9400328230 15040525168 16734937600 18800656460 23500820575 30081050336 37601312920 47001641150 60162100672 75202625840 94003282300 120324201344 150405251680 188006564600 240648402688 300810503360 376013129200 481296805376 601621006720 752026258400 1203242013440 1504052516800 2406484026880 3008105033600 6016210067200 12032420134400