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12101411120 = 2452814311249
BaseRepresentation
bin10110100010100110…
…01110000100110000
31011020100221101020212
423101103032010300
5144240430123440
65320451123252
7605612203661
oct132123160460
934210841225
1012101411120
11514aa27317
1224188a3528
1311ab1806c6
1482b299368
154ac603465
hex2d14ce130

12101411120 has 80 divisors (see below), whose sum is σ = 28324080000. Its totient is φ = 4808294400.

The previous prime is 12101411081. The next prime is 12101411123. The reversal of 12101411120 is 2111410121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12101411095 and 12101411104.

It is not an unprimeable number, because it can be changed into a prime (12101411123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9688256 + ... + 9689504.

It is an arithmetic number, because the mean of its divisors is an integer number (354051000).

Almost surely, 212101411120 is an apocalyptic number.

12101411120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101411120 is an abundant number, since it is smaller than the sum of its proper divisors (16222668880).

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

12101411120 is a wasteful number, since it uses less digits than its factorization.

12101411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12101411120 its reverse (2111410121), we get a palindrome (14212821241).

Subtracting from 12101411120 its reverse (2111410121), we obtain a palindrome (9990000999).

The spelling of 12101411120 in words is "twelve billion, one hundred one million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 281 431 562 862 1124 1249 1405 1724 2155 2248 2498 2810 3448 4310 4496 4996 5620 6245 6896 8620 9992 11240 12490 17240 19984 22480 24980 34480 49960 99920 121111 242222 350969 484444 538319 605555 701938 968888 1076638 1211110 1403876 1754845 1937776 2153276 2422220 2691595 2807752 3509690 4306552 4844440 5383190 5615504 7019380 8613104 9688880 10766380 14038760 21532760 28077520 43065520 151267639 302535278 605070556 756338195 1210141112 1512676390 2420282224 3025352780 6050705560 12101411120