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1222122220101 = 323721019912
BaseRepresentation
bin10001110010001100001…
…010010010101001000101
311022211111210120022220200
4101302030022102221011
5130010401242020401
62333234000321113
7154203220320366
oct21621412225105
94284453508820
101222122220101
11431332150522
12178a32313199
138b326860283
1443218601b6d
1521bcbe0c686
hex11c8c292a45

1222122220101 has 54 divisors (see below), whose sum is σ = 1834101600786. Its totient is φ = 784087128000.

The previous prime is 1222122220093. The next prime is 1222122220153. The reversal of 1222122220101 is 1010222212221.

It is a happy number.

1222122220101 is a `hidden beast` number, since 1 + 222 + 122 + 220 + 101 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1009771755876 + 212350464225 = 1004874^2 + 460815^2 .

It is not a de Polignac number, because 1222122220101 - 23 = 1222122220093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222122220181) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1233220716 + ... + 1233221706.

It is an arithmetic number, because the mean of its divisors is an integer number (33964844459).

Almost surely, 21222122220101 is an apocalyptic number.

It is an amenable number.

1222122220101 is a deficient number, since it is larger than the sum of its proper divisors (611979380685).

1222122220101 is an frugal number, since it uses more digits than its factorization.

1222122220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1222122220101 its reverse (1010222212221), we get a palindrome (2232344432322).

The spelling of 1222122220101 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 9 37 101 111 303 333 909 991 1369 2973 3737 4107 8919 11211 12321 33633 36667 100091 110001 138269 300273 330003 414807 900819 982081 1244421 1356679 2946243 3703367 4070037 8838729 11110101 12210111 33330303 36336997 99190181 109010991 137024579 297570543 327032973 411073737 892711629 1233221211 1344468889 3670036697 4033406667 11010110091 12100220001 33030330273 135791357789 407374073367 1222122220101