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22012120001120 = 255598461275593
BaseRepresentation
bin1010000000101000110001…
…00101111110101001100000
32212221100010111020012120012
411000110120211332221200
510341121310210013440
6114452121152504052
74431215565601124
oct500243045765140
985840114205505
1022012120001120
117017318982077
12257611a54b028
13c389708071b2
1456156c645584
152828bbdd9e65
hex14051897ea60

22012120001120 has 96 divisors (see below), whose sum is σ = 52891493387040. Its totient is φ = 8654558883840.

The previous prime is 22012120001057. The next prime is 22012120001129. The reversal of 22012120001120 is 2110002121022.

It is a junction number, because it is equal to n+sod(n) for n = 22012120001095 and 22012120001104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012120001129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79734044 + ... + 80009636.

It is an arithmetic number, because the mean of its divisors is an integer number (550953056115).

Almost surely, 222012120001120 is an apocalyptic number.

22012120001120 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 22012120001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26445746693520).

22012120001120 is an abundant number, since it is smaller than the sum of its proper divisors (30879373385920).

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

22012120001120 is a wasteful number, since it uses less digits than its factorization.

22012120001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284128 (or 284120 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22012120001120 its reverse (2110002121022), we get a palindrome (24122122122142).

The spelling of 22012120001120 in words is "twenty-two trillion, twelve billion, one hundred twenty million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2360 4720 8461 9440 16922 33844 42305 67688 84610 135376 169220 270752 275593 338440 499199 551186 676880 998398 1102372 1353760 1377965 1996796 2204744 2495995 2755930 3993592 4409488 4991990 5511860 7987184 8818976 9983980 11023720 15974368 16259987 19967960 22047440 32519974 39935920 44094880 65039948 79871840 81299935 130079896 162599870 260159792 325199740 520319584 650399480 1300798960 2331792373 2601597920 4663584746 9327169492 11658961865 18654338984 23317923730 37308677968 46635847460 74617355936 93271694920 137575750007 186543389840 275151500014 373086779680 550303000028 687878750035 1100606000056 1375757500070 2201212000112 2751515000140 4402424000224 5503030000280 11006060000560 22012120001120