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1220220001220 = 2251121901265241
BaseRepresentation
bin10001110000011010110…
…001111001101111000100
311022122121020012121011112
4101300122301321233010
5124443002310014340
62332321125224152
7154105121606633
oct21603261715704
94278536177145
101220220001220
1143054641a300
121785a1262058
138b0b273077c
14430b7b1b51a
1521b19e12065
hex11c1ac79bc4

1220220001220 has 72 divisors (see below), whose sum is σ = 2818082726424. Its totient is φ = 443481280000.

The previous prime is 1220220001211. The next prime is 1220220001241. The reversal of 1220220001220 is 221000220221.

It can be written as a sum of positive squares in 4 ways, for example, as 240947466496 + 979272534724 = 490864^2 + 989582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1220220001195 and 1220220001204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4467800 + ... + 4733040.

It is an arithmetic number, because the mean of its divisors is an integer number (39140037867).

Almost surely, 21220220001220 is an apocalyptic number.

1220220001220 is a gapful number since it is divisible by the number (10) 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 1220220001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409041363212).

1220220001220 is an abundant number, since it is smaller than the sum of its proper divisors (1597862725204).

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

1220220001220 is a wasteful number, since it uses less digits than its factorization.

1220220001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267173 (or 267160 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1220220001220 its reverse (221000220221), we get a palindrome (1441220221441).

It can be divided in two parts, 1220220001 and 220, that added together give a palindrome (1220220221).

The spelling of 1220220001220 in words is "one trillion, two hundred twenty billion, two hundred twenty million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1901 2420 3802 7604 9505 19010 20911 38020 41822 83644 104555 209110 230021 265241 418220 460042 530482 920084 1060964 1150105 1326205 2300210 2652410 2917651 4600420 5304820 5835302 11670604 14588255 29176510 32094161 58353020 64188322 128376644 160470805 320941610 504223141 641883220 1008446282 2016892564 2521115705 5042231410 5546454551 10084462820 11092909102 22185818204 27732272755 55464545510 61011000061 110929091020 122022000122 244044000244 305055000305 610110000610 1220220001220