Search a number
-
+
1212120222120 = 233354723879437
BaseRepresentation
bin10001101000110111111…
…111101100100110101000
311021212200202001012002000
4101220313333230212220
5124324410234101440
62324501303011000
7153400316614413
oct21506777544650
94255622035060
101212120222120
1142806a2a1395
12176b00739a60
138a3c1623582
144294a0bcb7a
15217e3ca7730
hex11a37fec9a8

1212120222120 has 128 divisors (see below), whose sum is σ = 4126366886400. Its totient is φ = 316354768128.

The previous prime is 1212120222109. The next prime is 1212120222121. The reversal of 1212120222120 is 212220212121.

It is a happy number.

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 = 1212120222093 and 1212120222102.

It is not an unprimeable number, because it can be changed into a prime (1212120222121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11888959 + ... + 11990478.

It is an arithmetic number, because the mean of its divisors is an integer number (32237241300).

Almost surely, 21212120222120 is an apocalyptic number.

1212120222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1212120222120 is an abundant number, since it is smaller than the sum of its proper divisors (2914246664280).

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

1212120222120 is a wasteful number, since it uses less digits than its factorization.

1212120222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23879504 (or 23879494 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1212120222120 its reverse (212220212121), we get a palindrome (1424340434241).

Subtracting from 1212120222120 its reverse (212220212121), we obtain a palindrome (999900009999).

The spelling of 1212120222120 in words is "one trillion, two hundred twelve billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 90 94 108 120 135 141 180 188 216 235 270 282 360 376 423 470 540 564 705 846 940 1080 1128 1269 1410 1692 1880 2115 2538 2820 3384 4230 5076 5640 6345 8460 10152 12690 16920 25380 50760 23879437 47758874 71638311 95517748 119397185 143276622 191035496 214914933 238794370 286553244 358191555 429829866 477588740 573106488 644744799 716383110 859659732 955177480 1074574665 1122333539 1289489598 1432766220 1719319464 2149149330 2244667078 2578979196 2865532440 3223723995 3367000617 4298298660 4489334156 5157958392 5611667695 6447447990 6734001234 8596597320 8978668312 10101001851 11223335390 12894895980 13468002468 16835003085 20202003702 22446670780 25789791960 26936004936 30303005553 33670006170 40404007404 44893341560 50505009255 60606011106 67340012340 80808014808 101010018510 121212022212 134680024680 151515027765 202020037020 242424044424 303030055530 404040074040 606060111060 1212120222120