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1332001220112 = 243237439756857
BaseRepresentation
bin10011011000100001011…
…101011010011000010000
311201100010110021212111200
4103120201131122120100
5133310414303020422
62455525104511200
7165143142363243
oct23304135323020
94640113255450
101332001220112
11473997a66542
1219619861b500
13987b7c73044
144867d6c925a
15249ad5a32ac
hex1362175a610

1332001220112 has 120 divisors (see below), whose sum is σ = 3829441565976. Its totient is φ = 431894550528.

The previous prime is 1332001220107. The next prime is 1332001220177. The reversal of 1332001220112 is 2110221002331.

1332001220112 is a `hidden beast` number, since 1 + 332 + 0 + 0 + 1 + 220 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 382265212176 + 949736007936 = 618276^2 + 974544^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23398788 + ... + 23455644.

Almost surely, 21332001220112 is an apocalyptic number.

1332001220112 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 1332001220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914720782988).

1332001220112 is an abundant number, since it is smaller than the sum of its proper divisors (2497440345864).

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

1332001220112 is a wasteful number, since it uses less digits than its factorization.

1332001220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61305 (or 61296 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1332001220112 its reverse (2110221002331), we get a palindrome (3442222222443).

The spelling of 1332001220112 in words is "one trillion, three hundred thirty-two billion, one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 4397 5328 8794 13191 17588 26382 35176 39573 52764 56857 70352 79146 105528 113714 158292 162689 170571 211056 227428 316584 325378 341142 454856 488067 511713 633168 650756 682284 909712 976134 1023426 1301512 1364568 1464201 1952268 2046852 2103709 2603024 2729136 2928402 3904536 4093704 4207418 5856804 6311127 7809072 8187408 8414836 11713608 12622254 16829672 18933381 23427216 25244508 33659344 37866762 50489016 75733524 100978032 151467048 250000229 302934096 500000458 750000687 1000000916 1500001374 2000001832 2250002061 3000002748 4000003664 4500004122 6000005496 9000008244 9250008473 12000010992 18000016488 18500016946 27750025419 36000032976 37000033892 55500050838 74000067784 83250076257 111000101676 148000135568 166500152514 222000203352 333000305028 444000406704 666000610056 1332001220112