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1120221201220 = 2251127723717753
BaseRepresentation
bin10000010011010010011…
…000110000001101000100
310222002111010211020000021
4100103102120300031010
5121323203111414340
62214342244024524
7143635061046652
oct20232230601504
93862433736007
101120221201220
113a20a0733840
12161133992144
13818372512b4
143c30cccddd2
151e215d62e4a
hex104d2630344

1120221201220 has 96 divisors (see below), whose sum is σ = 2577008278656. Its totient is φ = 405659059200.

The previous prime is 1120221201217. The next prime is 1120221201317. The reversal of 1120221201220 is 221021220211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1120221201194 and 1120221201203.

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, 144484864 + ... + 144492616.

It is an arithmetic number, because the mean of its divisors is an integer number (26843836236).

Almost surely, 21120221201220 is an apocalyptic number.

1120221201220 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 1120221201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288504139328).

1120221201220 is an abundant number, since it is smaller than the sum of its proper divisors (1456787077436).

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

1120221201220 is a wasteful number, since it uses less digits than its factorization.

1120221201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10421 (or 10419 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1120221201220 its reverse (221021220211), we get a palindrome (1341242421431).

The spelling of 1120221201220 in words is "one trillion, one hundred twenty billion, two hundred twenty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 277 554 1108 1385 2371 2770 3047 4742 5540 6094 7753 9484 11855 12188 15235 15506 23710 26081 30470 31012 38765 47420 52162 60940 77530 85283 104324 130405 155060 170566 260810 341132 426415 521620 656767 852830 1313534 1705660 2147581 2627068 3283835 4295162 6567670 7224437 8590324 10737905 13135340 14448874 18382363 21475810 23623391 28897748 36122185 36764726 42951620 47246782 72244370 73529452 91911815 94493564 118116955 144488740 183823630 202205993 236233910 367647260 404411986 472467820 808823972 1011029965 2022059930 4044119860 5091914551 10183829102 20367658204 25459572755 50919145510 56011060061 101838291020 112022120122 224044240244 280055300305 560110600610 1120221201220