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1220220011112 = 2331947446312757
BaseRepresentation
bin10001110000011010110…
…001111100001001101000
311022122121020020002201220
4101300122301330021220
5124443002310323422
62332321125342040
7154105121650524
oct21603261741150
94278536202656
101220220011112
11430546426783
121785a1267920
138b0b273511b
14430b7b20d84
1521b19e14e5c
hex11c1ac7c268

1220220011112 has 128 divisors (see below), whose sum is σ = 3280418611200. Its totient is φ = 377020009728.

The previous prime is 1220220011099. The next prime is 1220220011113. The reversal of 1220220011112 is 2111100220221.

It is a super-3 number, since 3×12202200111123 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1220220011091 and 1220220011100.

It is not an unprimeable number, because it can be changed into a prime (1220220011113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95644638 + ... + 95657394.

It is an arithmetic number, because the mean of its divisors is an integer number (25628270400).

Almost surely, 21220220011112 is an apocalyptic number.

1220220011112 is a gapful number since it is divisible by the number (12) 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 1220220011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640209305600).

1220220011112 is an abundant number, since it is smaller than the sum of its proper divisors (2060198600088).

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

1220220011112 is a wasteful number, since it uses less digits than its factorization.

1220220011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17295 (or 17291 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1220220011112 its reverse (2111100220221), we get a palindrome (3331320231333).

The spelling of 1220220011112 in words is "one trillion, two hundred twenty billion, two hundred twenty million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 114 141 152 188 228 282 376 456 564 893 1128 1786 2679 3572 4463 5358 7144 8926 10716 12757 13389 17852 21432 25514 26778 35704 38271 51028 53556 76542 84797 102056 107112 153084 169594 209761 242383 254391 306168 339188 419522 484766 508782 599579 629283 678376 727149 839044 969532 1017564 1199158 1258566 1454298 1678088 1798737 1939064 2035128 2398316 2517132 2908596 3597474 3985459 4796632 5034264 5817192 7194948 7970918 11392001 11956377 14389896 15941836 22784002 23912754 31883672 34176003 45568004 47825508 56934491 68352006 91136008 95651016 113868982 136704012 170803473 227737964 273408024 341606946 455475928 683213892 1081755329 1366427784 2163510658 2675921077 3245265987 4327021316 5351842154 6490531974 8027763231 8654042632 10703684308 12981063948 16055526462 21407368616 25962127896 32111052924 50842500463 64222105848 101685000926 152527501389 203370001852 305055002778 406740003704 610110005556 1220220011112