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12019842860400 = 2433521139849101
BaseRepresentation
bin1010111011101001011001…
…1101101100010101110000
31120120002022111220212001000
42232322112131230111300
53033413114233013100
641321501203242000
72350255624362324
oct256722635542560
946502274825030
1012019842860400
11391464aa35591
121421639079300
1369260a6689bb
142d7a9907b984
1515c9e4e9b900
hexaee9676c570

12019842860400 has 240 divisors, whose sum is σ = 43160340820320. Its totient is φ = 3176925696000.

The previous prime is 12019842860387. The next prime is 12019842860407. The reversal of 12019842860400 is 406824891021.

12019842860400 is a `hidden beast` number, since 1 + 2 + 0 + 19 + 8 + 4 + 28 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12019842860407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3704151 + ... + 6144950.

It is an arithmetic number, because the mean of its divisors is an integer number (179834753418).

Almost surely, 212019842860400 is an apocalyptic number.

12019842860400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12019842860400 is an abundant number, since it is smaller than the sum of its proper divisors (31140497959920).

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

12019842860400 is a wasteful number, since it uses less digits than its factorization.

12019842860400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9849241 (or 9849224 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12019842860400 in words is "twelve trillion, nineteen billion, eight hundred forty-two million, eight hundred sixty thousand, four hundred".