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2220212111120 = 245315231711753
BaseRepresentation
bin100000010011101110111…
…101000100011100010000
321212020202101210011110122
4200103232331010130100
5242333443300023440
64415541254445412
7316255632364523
oct40235675043420
97766671704418
102220212111120
1178664a946253
122ba360663868
13131499195bc3
147965d0acbba
153cb45b1a7b5
hex204eef44710

2220212111120 has 80 divisors (see below), whose sum is σ = 5338700539392. Its totient is φ = 857793162240.

The previous prime is 2220212111113. The next prime is 2220212111137. The reversal of 2220212111120 is 211112120222.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441164 + ... + 2152916.

Almost surely, 22220212111120 is an apocalyptic number.

2220212111120 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 2220212111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669350269696).

2220212111120 is an abundant number, since it is smaller than the sum of its proper divisors (3118488428272).

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

2220212111120 is a wasteful number, since it uses less digits than its factorization.

2220212111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712320 (or 1712314 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2220212111120 its reverse (211112120222), we get a palindrome (2431324231342).

It can be divided in two parts, 2220212 and 111120, that added together give a palindrome (2331332).

The spelling of 2220212111120 in words is "two trillion, two hundred twenty billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 523 620 1046 1240 2092 2480 2615 4184 5230 8368 10460 16213 20920 32426 41840 64852 81065 129704 162130 259408 324260 648520 1297040 1711753 3423506 6847012 8558765 13694024 17117530 27388048 34235060 53064343 68470120 106128686 136940240 212257372 265321715 424514744 530643430 849029488 895246819 1061286860 1790493638 2122573720 3580987276 4245147440 4476234095 7161974552 8952468190 14323949104 17904936380 27752651389 35809872760 55505302778 71619745520 111010605556 138763256945 222021211112 277526513890 444042422224 555053027780 1110106055560 2220212111120