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12210001110120 = 2335119250000841
BaseRepresentation
bin1011000110101101110011…
…0001110110010001101000
31121020021010222012211012210
42301223130301312101220
53100022040241010440
641545110322405120
72400100132003662
oct261533461662150
947207128184183
1012210001110120
113988261349070
1214524688007a0
136a75239c75a8
14302d78031532
151629243c1a80
hexb1adcc76468

12210001110120 has 64 divisors (see below), whose sum is σ = 39960003637440. Its totient is φ = 2960000268800.

The previous prime is 12210001110107. The next prime is 12210001110149. The reversal of 12210001110120 is 2101110001221.

12210001110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×122100011101204 (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12210001110096 and 12210001110105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4624999101 + ... + 4625001740.

It is an arithmetic number, because the mean of its divisors is an integer number (624375056835).

Almost surely, 212210001110120 is an apocalyptic number.

12210001110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210001110120 is an abundant number, since it is smaller than the sum of its proper divisors (27750002527320).

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

12210001110120 is a wasteful number, since it uses less digits than its factorization.

12210001110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9250000866 (or 9250000862 counting only the distinct ones).

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

Adding to 12210001110120 its reverse (2101110001221), we get a palindrome (14311111111341).

The spelling of 12210001110120 in words is "twelve trillion, two hundred ten billion, one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9250000841 18500001682 27750002523 37000003364 46250004205 55500005046 74000006728 92500008410 101750009251 111000010092 138750012615 185000016820 203500018502 222000020184 277500025230 305250027753 370000033640 407000037004 508750046255 555000050460 610500055506 814000074008 1017500092510 1110000100920 1221000111012 1526250138765 2035000185020 2442000222024 3052500277530 4070000370040 6105000555060 12210001110120