Search a number
-
+
1210212222120 = 2332511305609147
BaseRepresentation
bin10001100111000110010…
…001010000010010101000
311021200202202210202010100
4101213012101100102220
5124312003312101440
62323544103545400
7153302121105246
oct21470621202250
94250682722110
101210212222120
11427280281790
1217666975b260
138a17924b5a5
1442808931796
1521731519230
hex119c64504a8

1210212222120 has 96 divisors (see below), whose sum is σ = 4290752437920. Its totient is φ = 293384780160.

The previous prime is 1210212222103. The next prime is 1210212222127. The reversal of 1210212222120 is 212222120121.

It is a happy number.

1210212222120 is a `hidden beast` number, since 1 + 210 + 21 + 222 + 212 + 0 = 666.

It is a super-2 number, since 2×12102122221202 (a number of 25 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 = 1210212222093 and 1210212222102.

It is not an unprimeable number, because it can be changed into a prime (1210212222127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152800614 + ... + 152808533.

It is an arithmetic number, because the mean of its divisors is an integer number (44695337895).

Almost surely, 21210212222120 is an apocalyptic number.

1210212222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1210212222120 is an abundant number, since it is smaller than the sum of its proper divisors (3080540215800).

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

1210212222120 is a wasteful number, since it uses less digits than its factorization.

1210212222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305609175 (or 305609168 counting only the distinct ones).

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

Adding to 1210212222120 its reverse (212222120121), we get a palindrome (1422434342241).

The spelling of 1210212222120 in words is "one trillion, two hundred ten billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 305609147 611218294 916827441 1222436588 1528045735 1833654882 2444873176 2750482323 3056091470 3361700617 3667309764 4584137205 5500964646 6112182940 6723401234 7334619528 9168274410 10085101851 11001929292 12224365880 13446802468 13752411615 16808503085 18336548820 20170203702 22003858584 26893604936 27504823230 30255305553 33617006170 36673097640 40340407404 50425509255 55009646460 60510611106 67234012340 80680814808 100851018510 110019292920 121021222212 134468024680 151276527765 201702037020 242042444424 302553055530 403404074040 605106111060 1210212222120