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1200224220021 = 32374736376099
BaseRepresentation
bin10001011101110010111…
…100000011001101110101
311020201222200121200000200
4101131302330003031311
5124131024400020041
62315213030231113
7152466450353511
oct21356274031565
94221880550020
101200224220021
114230153119a2
121747407b5499
1389246ba2188
144213c213141
152134972b1b6
hex11772f03375

1200224220021 has 24 divisors (see below), whose sum is σ = 1780573797600. Its totient is φ = 778497150816.

The previous prime is 1200224220011. The next prime is 1200224220023.

1200224220021 is a `hidden beast` number, since 1 + 200 + 2 + 242 + 200 + 21 = 666.

1200224220021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1200224220021 - 234 = 1183044350837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1200224219976 and 1200224220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200224220023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15733830 + ... + 15809928.

It is an arithmetic number, because the mean of its divisors is an integer number (74190574900).

Almost surely, 21200224220021 is an apocalyptic number.

It is an amenable number.

1200224220021 is a deficient number, since it is larger than the sum of its proper divisors (580349577579).

1200224220021 is a wasteful number, since it uses less digits than its factorization.

1200224220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123505 (or 123502 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 1200224220021 in words is "one trillion, two hundred billion, two hundred twenty-four million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 9 37 111 333 47363 76099 142089 228297 426267 684891 1752431 2815663 5257293 8446989 15771879 25340967 3604276937 10812830811 32438492433 133358246669 400074740007 1200224220021