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1123122103120 = 24547853350179
BaseRepresentation
bin10000010101111111010…
…010110100001101010000
310222100222022101022022101
4100111333102310031100
5121400123224244440
62215542152250144
7144100004234623
oct20257722641520
93870868338271
101123122103120
113a334a169326
121618033a0954
1381baa2496b4
143c50629bdba
151e33587e69a
hex1057f4b4350

1123122103120 has 80 divisors (see below), whose sum is σ = 2669951612160. Its totient is φ = 439173637632.

The previous prime is 1123122103109. The next prime is 1123122103127. The reversal of 1123122103120 is 213012213211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11231221031202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123122103127) by changing a digit.

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, 3032191 + ... + 3382369.

It is an arithmetic number, because the mean of its divisors is an integer number (33374395152).

Almost surely, 21123122103120 is an apocalyptic number.

1123122103120 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 1123122103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334975806080).

1123122103120 is an abundant number, since it is smaller than the sum of its proper divisors (1546829509040).

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

1123122103120 is a wasteful number, since it uses less digits than its factorization.

1123122103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351092 (or 351086 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1123122103120 its reverse (213012213211), we get a palindrome (1336134316331).

The spelling of 1123122103120 in words is "one trillion, one hundred twenty-three billion, one hundred twenty-two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 853 940 1706 1880 3412 3760 4265 6824 8530 13648 17060 34120 40091 68240 80182 160364 200455 320728 350179 400910 641456 700358 801820 1400716 1603640 1750895 2801432 3207280 3501790 5602864 7003580 14007160 16458413 28014320 32916826 65833652 82292065 131667304 164584130 263334608 298702687 329168260 597405374 658336520 1194810748 1316673040 1493513435 2389621496 2987026870 4779242992 5974053740 11948107480 14039026289 23896214960 28078052578 56156105156 70195131445 112312210312 140390262890 224624420624 280780525780 561561051560 1123122103120