Search a number
-
+
1221204403332 = 22364110214497
BaseRepresentation
bin10001110001010101011…
…101000110010010000100
311022202010211112102000000
4101301111131012102010
5130002011311401312
62333002532321300
7154141404104634
oct21612535062204
94282124472000
101221204403332
11430a0105a171
12178816a73230
138b20b669124
144316c7686c4
1521b76561adc
hex11c55746484

1221204403332 has 84 divisors (see below), whose sum is σ = 3282347216316. Its totient is φ = 397139604480.

The previous prime is 1221204403219. The next prime is 1221204403369. The reversal of 1221204403332 is 2333044021221.

1221204403332 is a `hidden beast` number, since 1 + 2 + 21 + 204 + 403 + 3 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 741279672576 + 479924730756 = 860976^2 + 692766^2 .

It is a super-2 number, since 2×12212044033322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1221204403296 and 1221204403305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4987693 + ... + 5226804.

It is an arithmetic number, because the mean of its divisors is an integer number (39075562099).

Almost surely, 21221204403332 is an apocalyptic number.

1221204403332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221204403332 is an abundant number, since it is smaller than the sum of its proper divisors (2061142812984).

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

1221204403332 is a wasteful number, since it uses less digits than its factorization.

1221204403332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10214560 (or 10214543 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1221204403332 its reverse (2333044021221), we get a palindrome (3554248424553).

The spelling of 1221204403332 in words is "one trillion, two hundred twenty-one billion, two hundred four million, four hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 729 738 972 1107 1458 1476 2214 2916 3321 4428 6642 9963 13284 19926 29889 39852 59778 119556 10214497 20428994 30643491 40857988 61286982 91930473 122573964 183860946 275791419 367721892 418794377 551582838 827374257 837588754 1103165676 1256383131 1654748514 1675177508 2482122771 2512766262 3309497028 3769149393 4964245542 5025532524 7446368313 7538298786 9928491084 11307448179 14892736626 15076597572 22614896358 29785473252 33922344537 45229792716 67844689074 101767033611 135689378148 203534067222 305301100833 407068134444 610602201666 1221204403332