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1228122849384 = 23321717356910193
BaseRepresentation
bin10001110111110001110…
…100111000000001101000
311100101222222210212210200
4101313301310320001220
5130110143422140014
62340105234512200
7154505012656404
oct21676164700150
94311888725720
101228122849384
11433931371082
1217a027a35660
138ba71ab95a2
1443627536104
1521e2db1ba09
hex11df1d38068

1228122849384 has 192 divisors, whose sum is σ = 3548753629200. Its totient is φ = 382355570688.

The previous prime is 1228122849337. The next prime is 1228122849389. The reversal of 1228122849384 is 4839482218221.

1228122849384 is a `hidden beast` number, since 1 + 2 + 28 + 122 + 8 + 493 + 8 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 976598532900 + 251524316484 = 988230^2 + 501522^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1228122849384.

It is not an unprimeable number, because it can be changed into a prime (1228122849389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120481792 + ... + 120491984.

Almost surely, 21228122849384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228122849384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774376814600).

1228122849384 is an abundant number, since it is smaller than the sum of its proper divisors (2320630779816).

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

1228122849384 is a wasteful number, since it uses less digits than its factorization.

1228122849384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10964 (or 10957 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 1228122849384 in words is "one trillion, two hundred twenty-eight billion, one hundred twenty-two million, eight hundred forty-nine thousand, three hundred eighty-four".