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12122112011220 = 22325107629393147
BaseRepresentation
bin1011000001100110011000…
…1011100010101111010100
31120220212021211101000000200
42300121212023202233110
53042102041133324340
641440453230140500
72360536143666021
oct260314613425724
946825254330020
1012122112011220
113953a60231242
12143941a951730
1369c15830bc23
142dc9db61a548
151604cd512330
hexb06662e2bd4

12122112011220 has 72 divisors (see below), whose sum is σ = 37114055151264. Its totient is φ = 3202352326848.

The previous prime is 12122112011183. The next prime is 12122112011231. The reversal of 12122112011220 is 2211021122121.

12122112011220 is a `hidden beast` number, since 1 + 21 + 221 + 1 + 201 + 1 + 220 = 666.

It is a super-2 number, since 2×121221120112202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12122112011193 and 12122112011202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314677314 + ... + 314715833.

It is an arithmetic number, because the mean of its divisors is an integer number (515472988212).

Almost surely, 212122112011220 is an apocalyptic number.

12122112011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122112011220 is an abundant number, since it is smaller than the sum of its proper divisors (24991943140044).

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

12122112011220 is a wasteful number, since it uses less digits than its factorization.

12122112011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629393269 (or 629393264 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122112011220 its reverse (2211021122121), we get a palindrome (14333133133341).

The spelling of 12122112011220 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 19260 629393147 1258786294 1888179441 2517572588 3146965735 3776358882 5664538323 6293931470 7552717764 9440897205 11329076646 12587862940 18881794410 22658153292 28322691615 37763588820 56645383230 67345066729 113290766460 134690133458 202035200187 269380266916 336725333645 404070400374 606105600561 673450667290 808140800748 1010176000935 1212211201122 1346901334580 2020352001870 2424422402244 3030528002805 4040704003740 6061056005610 12122112011220