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1121122111220 = 22573990177557
BaseRepresentation
bin10000010100001000000…
…101011100111011110100
310222011210221001012012022
4100110020011130323310
5121332024230024340
62215011505412312
7143666310465506
oct20241005347364
93864727035168
101121122111220
113a2513227861
1216134563a098
138194baa5c37
143c396805d76
151e269ebe3b5
hex1050815cef4

1121122111220 has 48 divisors (see below), whose sum is σ = 2386879714128. Its totient is φ = 442255334400.

The previous prime is 1121122111201. The next prime is 1121122111301. The reversal of 1121122111220 is 221112211211.

It can be written as a sum of positive squares in 8 ways, for example, as 6235313296 + 1114886797924 = 78964^2 + 1055882^2 .

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, 14416682 + ... + 14494238.

It is an arithmetic number, because the mean of its divisors is an integer number (49726660711).

Almost surely, 21121122111220 is an apocalyptic number.

1121122111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121122111220 is an abundant number, since it is smaller than the sum of its proper divisors (1265757602908).

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

1121122111220 is a wasteful number, since it uses less digits than its factorization.

1121122111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87540 (or 87538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1121122111220 its reverse (221112211211), we get a palindrome (1342234322431).

Subtracting from 1121122111220 its reverse (221112211211), we obtain a palindrome (900009900009).

The spelling of 1121122111220 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 9901 19802 39604 49505 77557 99010 155114 198020 310228 387785 722773 775570 1445546 1551140 2891092 3613865 5661661 7227730 11323322 14455460 22646644 28308305 56616610 113233220 767891857 1535783714 3071567428 3839459285 7678918570 15357837140 56056105561 112112211122 224224422244 280280527805 560561055610 1121122111220