Search a number
-
+
212121111120 = 24353492532487
BaseRepresentation
bin1100010110001101100…
…1110100101001010000
3202021112002021221001220
43011203121310221100
511433411001023440
6241240323325040
721216362460252
oct3054331645120
9667462257056
10212121111120
1181a61923406
123513ab20780
13170065a9589
14a3a3c27cd2
1557b76698d0
hex3163674a50

212121111120 has 80 divisors (see below), whose sum is σ = 659459875200. Its totient is φ = 56403528192.

The previous prime is 212121111107. The next prime is 212121111151. The reversal of 212121111120 is 21111121212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 212121111120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1182484 + ... + 1350003.

It is an arithmetic number, because the mean of its divisors is an integer number (8243248440).

Almost surely, 2212121111120 is an apocalyptic number.

212121111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121111120 is an abundant number, since it is smaller than the sum of its proper divisors (447338764080).

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

212121111120 is a wasteful number, since it uses less digits than its factorization.

212121111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532852 (or 2532846 counting only the distinct ones).

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

Adding to 212121111120 its reverse (21111121212), we get a palindrome (233232232332).

The spelling of 212121111120 in words is "two hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 349 698 1047 1396 1745 2094 2792 3490 4188 5235 5584 6980 8376 10470 13960 16752 20940 27920 41880 83760 2532487 5064974 7597461 10129948 12662435 15194922 20259896 25324870 30389844 37987305 40519792 50649740 60779688 75974610 101299480 121559376 151949220 202598960 303898440 607796880 883837963 1767675926 2651513889 3535351852 4419189815 5303027778 7070703704 8838379630 10606055556 13257569445 14141407408 17676759260 21212111112 26515138890 35353518520 42424222224 53030277780 70707037040 106060555560 212121111120