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12021244400000 = 27551123118787
BaseRepresentation
bin1010111011101110101000…
…0000001001000110000000
31120120012221012011102221002
42232323222000021012000
53033424002031300000
641322252231151132
72350335433306523
oct256735200110600
946505835142832
1012021244400000
1139151aa085a80
12142196a5154a8
136927a1b36184
142d7b8d270bba
1515ca780478d5
hexaeeea009180

12021244400000 has 384 divisors, whose sum is σ = 34075126552320. Its totient is φ = 4181267200000.

The previous prime is 12021244399987. The next prime is 12021244400029. The reversal of 12021244400000 is 444212021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101140607 + ... + 101259393.

It is an arithmetic number, because the mean of its divisors is an integer number (88737308730).

Almost surely, 212021244400000 is an apocalyptic number.

12021244400000 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 12021244400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17037563276160).

12021244400000 is an abundant number, since it is smaller than the sum of its proper divisors (22053882152320).

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

12021244400000 is an equidigital number, since it uses as much as digits as its factorization.

12021244400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118860 (or 118828 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12021244400000 its reverse (444212021), we get a palindrome (12021688612021).

The spelling of 12021244400000 in words is "twelve trillion, twenty-one billion, two hundred forty-four million, four hundred thousand".