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1242040333212 = 223278364791781
BaseRepresentation
bin10010000100101111010…
…111110111001110011100
311101201220221000022110200
4102010233113313032130
5130322144311130322
62350330242503500
7155506626432120
oct22045727671634
94351827008420
101242040333212
1143982342a728
12180870964b90
139017c296a13
1444187a8d580
15224958a08ac
hex1212f5f739c

1242040333212 has 144 divisors (see below), whose sum is σ = 3636999055872. Its totient is φ = 350047451520.

The previous prime is 1242040333181. The next prime is 1242040333271. The reversal of 1242040333212 is 2123330402421.

1242040333212 is a `hidden beast` number, since 1 + 2 + 42 + 0 + 403 + 3 + 3 + 212 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13486762 + ... + 13578542.

It is an arithmetic number, because the mean of its divisors is an integer number (25256937888).

Almost surely, 21242040333212 is an apocalyptic number.

1242040333212 is a gapful number since it is divisible by the number (12) 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 1242040333212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818499527936).

1242040333212 is an abundant number, since it is smaller than the sum of its proper divisors (2394958722660).

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

1242040333212 is a wasteful number, since it uses less digits than its factorization.

1242040333212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92528 (or 92523 counting only the distinct ones).

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

Adding to 1242040333212 its reverse (2123330402421), we get a palindrome (3365370735633).

The spelling of 1242040333212 in words is "one trillion, two hundred forty-two billion, forty million, three hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 647 747 996 1162 1294 1494 1743 1941 2324 2588 2988 3486 3882 4529 5229 5823 6972 7764 9058 10458 11646 13587 18116 20916 23292 27174 40761 53701 54348 81522 91781 107402 161103 163044 183562 214804 275343 322206 367124 375907 483309 550686 642467 644412 751814 826029 966618 1101372 1127721 1284934 1503628 1652058 1927401 1933236 2255442 2569868 3304116 3383163 3854802 4510884 5782203 6766326 7617823 7709604 11564406 13532652 15235646 22853469 23128812 30471292 45706938 53324761 59382307 68560407 91413876 106649522 118764614 137120814 159974283 178146921 213299044 237529228 274241628 319948566 356293842 415676149 479922849 534440763 639897132 712587684 831352298 959845698 1068881526 1247028447 1662704596 1919691396 2137763052 2494056894 3741085341 4928731481 4988113788 7482170682 9857462962 14786194443 14964341364 19714925924 29572388886 34501120367 44358583329 59144777772 69002240734 88717166658 103503361101 138004481468 177434333316 207006722202 310510083303 414013444404 621020166606 1242040333212