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12211120110120 = 2335101759334251
BaseRepresentation
bin1011000110110001111101…
…1110011111101000101000
31121020101000221210220122020
42301230133132133220220
53100031333222010440
641545413334424440
72400136640232441
oct261543736375050
947211027726566
1012211120110120
113988785a60358
12145271b502120
136a767179b479
143030428b82c8
1516298c75c3d0
hexb1b1f79fa28

12211120110120 has 32 divisors (see below), whose sum is σ = 36633360330720. Its totient is φ = 3256298696000.

The previous prime is 12211120110089. The next prime is 12211120110121. The reversal of 12211120110120 is 2101102111221.

It is a happy number.

It is a super-2 number, since 2×122111201101202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12211120110120.

It is not an unprimeable number, because it can be changed into a prime (12211120110121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50879667006 + ... + 50879667245.

It is an arithmetic number, because the mean of its divisors is an integer number (1144792510335).

Almost surely, 212211120110120 is an apocalyptic number.

12211120110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211120110120 is an abundant number, since it is smaller than the sum of its proper divisors (24422240220600).

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

12211120110120 is a wasteful number, since it uses less digits than its factorization.

12211120110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101759334265 (or 101759334261 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12211120110120 its reverse (2101102111221), we get a palindrome (14312222221341).

The spelling of 12211120110120 in words is "twelve trillion, two hundred eleven billion, one hundred twenty million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 101759334251 203518668502 305278002753 407037337004 508796671255 610556005506 814074674008 1017593342510 1221112011012 1526390013765 2035186685020 2442224022024 3052780027530 4070373370040 6105560055060 12211120110120