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2221200221120 = 265109152341813
BaseRepresentation
bin100000010100101001110…
…110011010001111000000
321212100022021002100120022
4200110221312122033000
5242343004224033440
64420223313233012
7316322261234636
oct40245166321700
97770267070508
102221200221120
11787007688991
122ba597562768
131315c5acc18a
1479714403356
153cba274dcb5
hex20529d9a3c0

2221200221120 has 112 divisors (see below), whose sum is σ = 5341390607520. Its totient is φ = 879729831936.

The previous prime is 2221200221087. The next prime is 2221200221137. The reversal of 2221200221120 is 211220021222.

It is a happy number.

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, 53101334 + ... + 53143146.

Almost surely, 22221200221120 is an apocalyptic number.

2221200221120 is a gapful number since it is divisible by the number (20) 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 2221200221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670695303760).

2221200221120 is an abundant number, since it is smaller than the sum of its proper divisors (3120190386400).

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

2221200221120 is a wasteful number, since it uses less digits than its factorization.

2221200221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43462 (or 43452 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2221200221120 its reverse (211220021222), we get a palindrome (2432420242342).

The spelling of 2221200221120 in words is "two trillion, two hundred twenty-one billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 160 218 320 436 545 872 1090 1523 1744 2180 3046 3488 4360 6092 6976 7615 8720 12184 15230 17440 24368 30460 34880 41813 48736 60920 83626 97472 121840 166007 167252 209065 243680 332014 334504 418130 487360 664028 669008 830035 836260 1328056 1338016 1660070 1672520 2656112 2676032 3320140 3345040 4557617 5312224 6640280 6690080 9115234 10624448 13280560 13380160 18230468 22788085 26561120 36460936 45576170 53122240 63681199 72921872 91152340 127362398 145843744 182304680 254724796 291687488 318405995 364609360 509449592 636811990 729218720 1018899184 1273623980 1458437440 2037798368 2547247960 4075596736 5094495920 6941250691 10188991840 13882501382 20377983680 27765002764 34706253455 55530005528 69412506910 111060011056 138825013820 222120022112 277650027640 444240044224 555300055280 1110600110560 2221200221120