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1227223055601 = 3483214832
BaseRepresentation
bin10001110110111100001…
…100011011110011110001
311100022200021200121210000
4101312330030123303301
5130101323100234401
62335440053100213
7154443505600044
oct21667414336361
94308607617700
101227223055601
1143350a46a754
12179a16627669
138b95a565a2a
144357dc30c5b
1521dc9b31186
hex11dbc31bcf1

1227223055601 has 45 divisors (see below), whose sum is σ = 1856864805609. Its totient is φ = 807746452344.

The previous prime is 1227223055587. The next prime is 1227223055647. The reversal of 1227223055601 is 1065503227221.

The square root of 1227223055601 is 1107801.

It is a perfect power (a square), and thus also a powerful number.

1227223055601 is a `hidden beast` number, since 1 + 2 + 2 + 72 + 2 + 30 + 556 + 0 + 1 = 666.

It is not a de Polignac number, because 1227223055601 - 219 = 1227222531313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1227223055671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 827526606 + ... + 827528088.

Almost surely, 21227223055601 is an apocalyptic number.

1227223055601 is the 1107801-st square number.

1227223055601 is the 553901-st centered octagonal number.

It is an amenable number.

1227223055601 is a deficient number, since it is larger than the sum of its proper divisors (629641750008).

1227223055601 is an frugal number, since it uses more digits than its factorization.

1227223055601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 1227223055601 by its sum of digits (36), we get a square (44180030001636 = 66468062).

The spelling of 1227223055601 in words is "one trillion, two hundred twenty-seven billion, two hundred twenty-three million, fifty-five thousand, six hundred one".

Divisors: 1 3 9 27 81 83 249 747 1483 2241 4449 6723 6889 13347 20667 40041 62001 120123 123089 186003 369267 558009 1107801 2199289 3323403 6597867 9970209 10216387 19793601 30649161 59380803 91947483 178142409 182540987 275842449 547622961 827527347 1642868883 4928606649 14785819947 15150901921 45452705763 136358117289 409074351867 1227223055601