Search a number
-
+
1221121021220 = 225247724649193
BaseRepresentation
bin10001110001010000011…
…111000001010100100100
311022201221000122011020122
4101301100133001110210
5130001323440134340
62332550353221112
7154136342264252
oct21612037012444
94281830564218
101221121021220
11430968a88a31
121787b2b61798
138b1c72c34b9
14431616615d2
1521b6e090db5
hex11c507c1524

1221121021220 has 24 divisors (see below), whose sum is σ = 2565389514744. Its totient is φ = 488251195136.

The previous prime is 1221121021187. The next prime is 1221121021259. The reversal of 1221121021220 is 221201211221.

It can be written as a sum of positive squares in 4 ways, for example, as 26594434084 + 1194526587136 = 163078^2 + 1092944^2 .

It is a super-2 number, since 2×12211210212202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12275057 + ... + 12374136.

It is an arithmetic number, because the mean of its divisors is an integer number (106891229781).

Almost surely, 21221121021220 is an apocalyptic number.

1221121021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221121021220 is an abundant number, since it is smaller than the sum of its proper divisors (1344268493524).

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

1221121021220 is a wasteful number, since it uses less digits than its factorization.

1221121021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24651679 (or 24651677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1221121021220 its reverse (221201211221), we get a palindrome (1442322232441).

The spelling of 1221121021220 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2477 4954 9908 12385 24770 49540 24649193 49298386 98596772 123245965 246491930 492983860 61056051061 122112102122 244224204244 305280255305 610560510610 1221121021220