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1211221001320 = 235112534721741
BaseRepresentation
bin10001101000000010011…
…001011100010001101000
311021210101002000001000221
4101220002121130101220
5124321040034020240
62324232141335424
7153336120432421
oct21500231342150
94253332001027
101211221001320
11427748751500
121768ab567574
138a2aa240765
14428a28c6648
152178ed81a4a
hex11a0265c468

1211221001320 has 96 divisors (see below), whose sum is σ = 3052039593960. Its totient is φ = 432133644800.

The previous prime is 1211221001239. The next prime is 1211221001321. The reversal of 1211221001320 is 231001221121.

It can be written as a sum of positive squares in 4 ways, for example, as 1177741516644 + 33479484676 = 1085238^2 + 182974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1211221001294 and 1211221001303.

It is not an unprimeable number, because it can be changed into a prime (1211221001321) 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, 2104351 + ... + 2617390.

Almost surely, 21211221001320 is an apocalyptic number.

1211221001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211221001320 is an abundant number, since it is smaller than the sum of its proper divisors (1840818592640).

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

1211221001320 is a wasteful number, since it uses less digits than its factorization.

1211221001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721827 (or 4721812 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1211221001320 its reverse (231001221121), we get a palindrome (1442222222441).

The spelling of 1211221001320 in words is "one trillion, two hundred eleven billion, two hundred twenty-one million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 121 212 220 242 265 424 440 484 530 583 605 968 1060 1166 1210 2120 2332 2420 2915 4664 4840 5830 6413 11660 12826 23320 25652 32065 51304 64130 128260 256520 4721741 9443482 18886964 23608705 37773928 47217410 51939151 94434820 103878302 188869640 207756604 250252273 259695755 415513208 500504546 519391510 571330661 1001009092 1038783020 1142661322 1251261365 2002018184 2077566040 2285322644 2502522730 2752775003 2856653305 4570645288 5005045460 5505550006 5713306610 10010090920 11011100012 11426613220 13763875015 22022200024 22853226440 27527750030 30280525033 55055500060 60561050066 110111000120 121122100132 151402625165 242244200264 302805250330 605610500660 1211221001320