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1144123121112 = 2331512609121007
BaseRepresentation
bin10000101001100011000…
…011010101110111011000
311001101011220111120002120
4100221203003111313120
5122221131004333422
62233334121101240
7145442303032416
oct20514303256730
94041156446076
101144123121112
11401246746a44
121658a4627820
1383b7612996a
143d5394b82b6
151eb6442d45c
hex10a630d5dd8

1144123121112 has 64 divisors (see below), whose sum is σ = 2880377625600. Its totient is φ = 378700377600.

The previous prime is 1144123121107. The next prime is 1144123121159. The reversal of 1144123121112 is 2111213214411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9394513 + ... + 9515519.

It is an arithmetic number, because the mean of its divisors is an integer number (45005900400).

Almost surely, 21144123121112 is an apocalyptic number.

1144123121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1144123121112 is an abundant number, since it is smaller than the sum of its proper divisors (1736254504488).

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

1144123121112 is a wasteful number, since it uses less digits than its factorization.

1144123121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123776 (or 123772 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

Adding to 1144123121112 its reverse (2111213214411), we get a palindrome (3255336335523).

The spelling of 1144123121112 in words is "one trillion, one hundred forty-four billion, one hundred twenty-three million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 151 302 453 604 906 1208 1812 2609 3624 5218 7827 10436 15654 20872 31308 62616 121007 242014 363021 393959 484028 726042 787918 968056 1181877 1452084 1575836 2363754 2904168 3151672 4727508 9455016 18272057 36544114 54816171 73088228 109632342 146176456 219264684 315707263 438529368 631414526 947121789 1262829052 1894243578 2525658104 3788487156 7576974312 47671796713 95343593426 143015390139 190687186852 286030780278 381374373704 572061560556 1144123121112