Search a number
-
+
1212142443220 = 2251713735417349
BaseRepresentation
bin10001101000111001010…
…100011101101011010100
311021212202021212010200201
4101220321110131223110
5124324431431140340
62324503415150244
7153401006524102
oct21507124355324
94255667763621
101212142443220
11428080899435
12176b08075384
138a3c6103957
144294d024c72
15217e5be679a
hex11a3951dad4

1212142443220 has 96 divisors (see below), whose sum is σ = 2716043853600. Its totient is φ = 452815503360.

The previous prime is 1212142443217. The next prime is 1212142443233. The reversal of 1212142443220 is 223442412121.

It can be written as a sum of positive squares in 16 ways, for example, as 55734710724 + 1156407732496 = 236082^2 + 1075364^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164936106 + ... + 164943454.

It is an arithmetic number, because the mean of its divisors is an integer number (28292123475).

Almost surely, 21212142443220 is an apocalyptic number.

1212142443220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212142443220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358021926800).

1212142443220 is an abundant number, since it is smaller than the sum of its proper divisors (1503901410380).

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

1212142443220 is a wasteful number, since it uses less digits than its factorization.

1212142443220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11053 (or 11051 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1212142443220 its reverse (223442412121), we get a palindrome (1435584855341).

The spelling of 1212142443220 in words is "one trillion, two hundred twelve billion, one hundred forty-two million, four hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 137 170 274 340 548 685 1370 2329 2740 3541 4658 7082 7349 9316 11645 14164 14698 17705 23290 29396 35410 36745 46580 60197 70820 73490 120394 124933 146980 240788 249866 300985 485117 499732 601970 624665 970234 1006813 1203940 1249330 1940468 2013626 2425585 2498660 4027252 4851170 5034065 8246989 9702340 10068130 16493978 17115821 20136260 26022809 32987956 34231642 41234945 52045618 68463284 82469890 85579105 104091236 130114045 164939780 171158210 260228090 342316420 442387753 520456180 884775506 1769551012 2211938765 3565124833 4423877530 7130249666 8847755060 14260499332 17825624165 35651248330 60607122161 71302496660 121214244322 242428488644 303035610805 606071221610 1212142443220