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12201121110 = 2353716216781
BaseRepresentation
bin10110101110011111…
…00101010101010110
31011111022120011122110
423113033211111112
5144441441333420
65334412211450
7611232550443
oct132717452526
934438504573
1012201121110
1151a123a972
122446169b86
1311c5a221b9
1483a6129ca
154b624bee0
hex2d73e5556

12201121110 has 64 divisors (see below), whose sum is σ = 30097105344. Its totient is φ = 3163276800.

The previous prime is 12201121103. The next prime is 12201121123. The reversal of 12201121110 is 1112110221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1795920 + ... + 1802700.

It is an arithmetic number, because the mean of its divisors is an integer number (470267271).

Almost surely, 212201121110 is an apocalyptic number.

12201121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048552672).

12201121110 is an abundant number, since it is smaller than the sum of its proper divisors (17895984234).

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

12201121110 is a wasteful number, since it uses less digits than its factorization.

12201121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8449.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12201121110 its reverse (1112110221), we get a palindrome (13313231331).

The spelling of 12201121110 in words is "twelve billion, two hundred one million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 1621 3242 4863 6781 8105 9726 13562 16210 20343 24315 33905 40686 48630 59977 67810 101715 119954 179931 203430 250897 299885 359862 501794 599770 752691 899655 1254485 1505382 1799310 2508970 3763455 7526910 10992001 21984002 32976003 54960005 65952006 109920010 164880015 329760030 406704037 813408074 1220112111 2033520185 2440224222 4067040370 6100560555 12201121110