Search a number
-
+
12220021111120 = 245152750263889
BaseRepresentation
bin1011000111010011001000…
…0001000111100101010000
31121021020000021121121112221
42301310302001013211100
53100203100401023440
641553444502030424
72400603341420614
oct261646201074520
947236007547487
1012220021111120
113991533384129
1214543a4418414
136a845c898774
14303648abd344
15162d0ddd0d4a
hexb1d32047950

12220021111120 has 20 divisors (see below), whose sum is σ = 28411549083540. Its totient is φ = 4888008444416.

The previous prime is 12220021111003. The next prime is 12220021111141. The reversal of 12220021111120 is 2111112002221.

It can be written as a sum of positive squares in 2 ways, for example, as 1309340101696 + 10910681009424 = 1144264^2 + 3303132^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12220021111094 and 12220021111103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76375131865 + ... + 76375132024.

It is an arithmetic number, because the mean of its divisors is an integer number (1420577454177).

Almost surely, 212220021111120 is an apocalyptic number.

12220021111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220021111120 is an abundant number, since it is smaller than the sum of its proper divisors (16191527972420).

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

12220021111120 is a wasteful number, since it uses less digits than its factorization.

12220021111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152750263902 (or 152750263896 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12220021111120 its reverse (2111112002221), we get a palindrome (14331133113341).

The spelling of 12220021111120 in words is "twelve trillion, two hundred twenty billion, twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 152750263889 305500527778 611001055556 763751319445 1222002111112 1527502638890 2444004222224 3055005277780 6110010555560 12220021111120