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1220111120020 = 2251311341528629
BaseRepresentation
bin10001110000010100010…
…010100011011010010100
311022122022122022212020111
4101300110102203122110
5124442241421320040
62332302235412404
7154102330255012
oct21602422433224
94278278285214
101220111120020
1143049aa12241
121785708b4104
138b095cca720
14430a74978b2
1521b105a5dea
hex11c144a3694

1220111120020 has 48 divisors (see below), whose sum is σ = 2783747126160. Its totient is φ = 446515808256.

The previous prime is 1220111119993. The next prime is 1220111120051. The reversal of 1220111120020 is 200211110221.

It can be written as a sum of positive squares in 8 ways, for example, as 91272868996 + 1128838251024 = 302114^2 + 1062468^2 .

It is a super-2 number, since 2×12201111200202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

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, 20734935 + ... + 20793694.

It is an arithmetic number, because the mean of its divisors is an integer number (57994731795).

Almost surely, 21220111120020 is an apocalyptic number.

1220111120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220111120020 is an abundant number, since it is smaller than the sum of its proper divisors (1563636006140).

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

1220111120020 is a wasteful number, since it uses less digits than its factorization.

1220111120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41528764 (or 41528762 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1220111120020 its reverse (200211110221), we get a palindrome (1420322230241).

The spelling of 1220111120020 in words is "one trillion, two hundred twenty billion, one hundred eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 2260 2938 5876 7345 14690 29380 41528629 83057258 166114516 207643145 415286290 539872177 830572580 1079744354 2159488708 2699360885 4692735077 5398721770 9385470154 10797443540 18770940308 23463675385 46927350770 61005556001 93854701540 122011112002 244022224004 305027780005 610055560010 1220111120020