Search a number
-
+
1220002001220 = 2235371069514079
BaseRepresentation
bin10001110000001101110…
…010010011000101000100
311022122001001000001101110
4101300031302103011010
5124442031003014340
62332243340525020
7154066533623262
oct21601562230504
94278031001343
101220002001220
11430444362712
12178540250770
138b0795134a2
1443096bb1432
1521b05bee680
hex11c0dc93144

1220002001220 has 96 divisors (see below), whose sum is σ = 3511618790400. Its totient is φ = 316244335104.

The previous prime is 1220002001219. The next prime is 1220002001221. The reversal of 1220002001220 is 221002000221.

It is an interprime number because it is at equal distance from previous prime (1220002001219) and next prime (1220002001221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1220002001196 and 1220002001205.

It is not an unprimeable number, because it can be changed into a prime (1220002001221) 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, 2116141 + ... + 2630219.

It is an arithmetic number, because the mean of its divisors is an integer number (36579362400).

Almost surely, 21220002001220 is an apocalyptic number.

1220002001220 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 1220002001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755809395200).

1220002001220 is an abundant number, since it is smaller than the sum of its proper divisors (2291616789180).

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

1220002001220 is a wasteful number, since it uses less digits than its factorization.

1220002001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515197 (or 515195 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1220002001220 its reverse (221002000221), we get a palindrome (1441004001441).

Subtracting from 1220002001220 its reverse (221002000221), we obtain a palindrome (999000000999).

The spelling of 1220002001220 in words is "one trillion, two hundred twenty billion, two million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1069 1110 2138 2220 3207 4276 5345 6414 10690 12828 16035 21380 32070 39553 64140 79106 118659 158212 197765 237318 395530 474636 514079 593295 791060 1028158 1186590 1542237 2056316 2373180 2570395 3084474 5140790 6168948 7711185 10281580 15422370 19020923 30844740 38041846 57062769 76083692 95104615 114125538 190209230 228251076 285313845 380418460 549550451 570627690 1099100902 1141255380 1648651353 2198201804 2747752255 3297302706 5495504510 6594605412 8243256765 10991009020 16486513530 20333366687 32973027060 40666733374 61000100061 81333466748 101666833435 122000200122 203333666870 244000400244 305000500305 406667333740 610001000610 1220002001220