Search a number
-
+
1121221222220 = 2251110156389627
BaseRepresentation
bin10000010100001101111…
…111100001111101001100
310222012001211112112221002
4100110031333201331030
5121332230113102340
62215025405555432
7144001623066041
oct20241577417514
93865054475832
101121221222220
113a2564171380
12161372875b78
1381966497bb8
143c3a5a451c8
151e273a4a715
hex1050dfe1f4c

1121221222220 has 96 divisors (see below), whose sum is σ = 2598684270336. Its totient is φ = 402958496000.

The previous prime is 1121221222201. The next prime is 1121221222259. The reversal of 1121221222220 is 222221221211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1121221222192 and 1121221222201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12465047 + ... + 12554673.

It is an arithmetic number, because the mean of its divisors is an integer number (27069627816).

Almost surely, 21121221222220 is an apocalyptic number.

1121221222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121221222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299342135168).

1121221222220 is an abundant number, since it is smaller than the sum of its proper divisors (1477463048116).

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

1121221222220 is a wasteful number, since it uses less digits than its factorization.

1121221222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90311 (or 90309 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1121221222220 its reverse (222221221211), we get a palindrome (1343442443431).

The spelling of 1121221222220 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 563 1010 1111 1126 2020 2222 2252 2815 4444 5555 5630 6193 11110 11260 12386 22220 24772 30965 56863 61930 89627 113726 123860 179254 227452 284315 358508 448135 568630 625493 896270 985897 1137260 1250986 1792540 1971794 2501972 3127465 3943588 4929485 6254930 9052327 9858970 12509860 18104654 19717940 36209308 45261635 50460001 90523270 99575597 100920002 181046540 199151194 201840004 252300005 398302388 497877985 504600010 555060011 995755970 1009200020 1110120022 1991511940 2220240044 2775300055 5096460101 5550600110 10192920202 11101200220 20385840404 25482300505 50964601010 56061061111 101929202020 112122122222 224244244444 280305305555 560610611110 1121221222220