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1202112211221 = 321761827315569
BaseRepresentation
bin10001011111100011011…
…110001010100100010101
311020220212021012120001200
4101133203132022210111
5124143411211224341
62320124232343113
7152564314126155
oct21374336124425
94226767176050
101202112211221
114238a40056a9
12174b88b44a99
138948808ca2c
144227ac72765
152140a365db6
hex117e378a915

1202112211221 has 48 divisors (see below), whose sum is σ = 1869010219440. Its totient is φ = 741764136960.

The previous prime is 1202112211217. The next prime is 1202112211229. The reversal of 1202112211221 is 1221122112021.

1202112211221 is a `hidden beast` number, since 1 + 20 + 211 + 2 + 211 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7878515121 + 1194233696100 = 88761^2 + 1092810^2 .

It is not a de Polignac number, because 1202112211221 - 22 = 1202112211217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1202112211194 and 1202112211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202112211229) 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, 77204125 + ... + 77219693.

It is an arithmetic number, because the mean of its divisors is an integer number (38937712905).

Almost surely, 21202112211221 is an apocalyptic number.

It is an amenable number.

1202112211221 is a deficient number, since it is larger than the sum of its proper divisors (666898008219).

1202112211221 is a wasteful number, since it uses less digits than its factorization.

1202112211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23926 (or 23923 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1202112211221 its reverse (1221122112021), we get a palindrome (2423234323242).

The spelling of 1202112211221 in words is "one trillion, two hundred two billion, one hundred twelve million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 61 153 183 549 1037 3111 8273 9333 15569 24819 46707 74457 140121 140641 264673 421923 504653 794019 949709 1265769 1513959 2382057 2849127 4541877 8547381 8579101 16145053 25737303 48435159 77211909 128802337 145305477 386407011 1159221033 2189639729 6568919187 7856942557 19706757561 23570827671 70712483013 133568023469 400704070407 1202112211221