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220220212121200 = 24526415669151507
BaseRepresentation
bin110010000100101000000011…
…100001000000111001110000
31001212201211212020001101120001
4302010220003201000321300
5212331041443300334300
62100211434021355344
764246246102440454
oct6204500341007160
91055654766041501
10220220212121200
116419495a682385
122084819b568b54
1395b58a51a8bc5
143c54a024a4664
151a6d676a6616a
hexc84a03840e70

220220212121200 has 120 divisors (see below), whose sum is σ = 530001428206320. Its totient is φ = 87934567219200.

The previous prime is 220220212121149. The next prime is 220220212121207. The reversal of 220220212121200 is 2121212022022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220220212121207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1453455847 + ... + 1453607353.

It is an arithmetic number, because the mean of its divisors is an integer number (4416678568386).

Almost surely, 2220220212121200 is an apocalyptic number.

220220212121200 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 220220212121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265000714103160).

220220212121200 is an abundant number, since it is smaller than the sum of its proper divisors (309781216085120).

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

220220212121200 is a wasteful number, since it uses less digits than its factorization.

220220212121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157835 (or 157824 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 220220212121200 its reverse (2121212022022), we get a palindrome (222341424143222).

The spelling of 220220212121200 in words is "two hundred twenty trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 641 1282 2564 3205 5128 5669 6410 10256 11338 12820 16025 22676 25640 28345 32050 45352 51280 56690 64100 90704 113380 128200 141725 151507 226760 256400 283450 303014 453520 566900 606028 757535 1133800 1212056 1515070 2267600 2424112 3030140 3633829 3787675 6060280 7267658 7575350 12120560 14535316 15150700 18169145 29070632 30301400 36338290 58141264 60602800 72676580 90845725 97115987 145353160 181691450 194231974 290706320 363382900 388463948 485579935 726765800 776927896 858893183 971159870 1453531600 1553855792 1717786366 1942319740 2427899675 3435572732 3884639480 4294465915 4855799350 6871145464 7769278960 8588931830 9711598700 13742290928 17177863660 19423197400 21472329575 34355727320 38846394800 42944659150 68711454640 85889318300 171778636600 343557273200 550550530303 1101101060606 2202202121212 2752752651515 4404404242424 5505505303030 8808808484848 11011010606060 13763763257575 22022021212120 27527526515150 44044042424240 55055053030300 110110106060600 220220212121200