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1219385469120 = 2635713108712841
BaseRepresentation
bin10001101111101001000…
…010011010100011000000
311022120110001212222100020
4101233221002122203000
5124434300140002440
62332102234253440
7154045336320510
oct21575102324300
94276401788306
101219385469120
11430158342a55
121783a9887280
138acab879ab0
1443038d63840
1521abba183d0
hex11be909a8c0

1219385469120 has 448 divisors, whose sum is σ = 4769738244096. Its totient is φ = 257020231680.

The previous prime is 1219385469067. The next prime is 1219385469143. The reversal of 1219385469120 is 219645839121.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 94953900 + ... + 94966740.

It is an arithmetic number, because the mean of its divisors is an integer number (10646737152).

Almost surely, 21219385469120 is an apocalyptic number.

1219385469120 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 1219385469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384869122048).

1219385469120 is an abundant number, since it is smaller than the sum of its proper divisors (3550352774976).

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

1219385469120 is a wasteful number, since it uses less digits than its factorization.

1219385469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13968 (or 13958 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 1219385469120 in words is "one trillion, two hundred nineteen billion, three hundred eighty-five million, four hundred sixty-nine thousand, one hundred twenty".