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1211312211220 = 225397541281993
BaseRepresentation
bin10001101000000111110…
…101011000010100010100
311021210121102121222111101
4101220013311120110110
5124321231411224340
62324245200315444
7153341305624456
oct21500765302424
94253542558441
101211312211220
11427795189891
12176916012b84
138a2c30c7307
14428b0a6a2d6
1521797d9bc9a
hex11a07d58514

1211312211220 has 48 divisors (see below), whose sum is σ = 2554885943568. Its totient is φ = 482409354240.

The previous prime is 1211312211203. The next prime is 1211312211223. The reversal of 1211312211220 is 221122131121.

It can be written as a sum of positive squares in 8 ways, for example, as 39995200144 + 1171317011076 = 199988^2 + 1082274^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211312211223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4154544 + ... + 4436536.

It is an arithmetic number, because the mean of its divisors is an integer number (53226790491).

Almost surely, 21211312211220 is an apocalyptic number.

1211312211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211312211220 is an abundant number, since it is smaller than the sum of its proper divisors (1343573732348).

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

1211312211220 is a wasteful number, since it uses less digits than its factorization.

1211312211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282940 (or 282938 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1211312211220 its reverse (221122131121), we get a palindrome (1432434342341).

The spelling of 1211312211220 in words is "one trillion, two hundred eleven billion, three hundred twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 397 541 794 1082 1588 1985 2164 2705 3970 5410 7940 10820 214777 281993 429554 563986 859108 1073885 1127972 1409965 2147770 2819930 4295540 5639860 111951221 152558213 223902442 305116426 447804884 559756105 610232852 762791065 1119512210 1525582130 2239024420 3051164260 60565610561 121131221122 242262442244 302828052805 605656105610 1211312211220