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1200201222020 = 225269997223757
BaseRepresentation
bin10001011101110001100…
…100010100011110000100
311020201221002100020200212
4101131301210110132010
5124131003003101040
62315210445254552
7152466051030113
oct21356144243604
94221832306625
101200201222020
11423003334189
12174734b64458
13892421ac2a8
1442139147c7a
15213476d6d65
hex11771914784

1200201222020 has 48 divisors (see below), whose sum is σ = 2532340888560. Its totient is φ = 477813932544.

The previous prime is 1200201222001. The next prime is 1200201222037. The reversal of 1200201222020 is 202221020021.

It can be written as a sum of positive squares in 8 ways, for example, as 1408350784 + 1198792871236 = 37528^2 + 1094894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1200201221986 and 1200201222004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5251982 + ... + 5475738.

It is an arithmetic number, because the mean of its divisors is an integer number (52757101845).

Almost surely, 21200201222020 is an apocalyptic number.

1200201222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200201222020 is an abundant number, since it is smaller than the sum of its proper divisors (1332139666540).

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

1200201222020 is a wasteful number, since it uses less digits than its factorization.

1200201222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225032 (or 225030 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1200201222020 its reverse (202221020021), we get a palindrome (1402422242041).

The spelling of 1200201222020 in words is "one trillion, two hundred billion, two hundred one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 269 538 997 1076 1345 1994 2690 3988 4985 5380 9970 19940 223757 268193 447514 536386 895028 1072772 1118785 1340965 2237570 2681930 4475140 5363860 60190633 120381266 223085729 240762532 300953165 446171458 601906330 892342916 1115428645 1203812660 2230857290 4461714580 60010061101 120020122202 240040244404 300050305505 600100611010 1200201222020