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1220012021220 = 223553478980111
BaseRepresentation
bin10001110000001110011…
…000100001010111100100
311022122001201212010020120
4101300032120201113210
5124442041034134340
62332244335401540
7154100015035146
oct21601630412744
94278051763216
101220012021220
11430449a86903
121785436832b0
138b07b611195
144309825cc96
1521b06a2d4d0
hex11c0e6215e4

1220012021220 has 96 divisors (see below), whose sum is σ = 3481257346560. Its totient is φ = 319127477760.

The previous prime is 1220012021177. The next prime is 1220012021231. The reversal of 1220012021220 is 221202100221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1220012021220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15188965 + ... + 15269075.

It is an arithmetic number, because the mean of its divisors is an integer number (36263097360).

Almost surely, 21220012021220 is an apocalyptic number.

1220012021220 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 1220012021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740628673280).

1220012021220 is an abundant number, since it is smaller than the sum of its proper divisors (2261245325340).

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

1220012021220 is a wasteful number, since it uses less digits than its factorization.

1220012021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84965 (or 84963 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1220012021220 its reverse (221202100221), we get a palindrome (1441214121441).

The spelling of 1220012021220 in words is "one trillion, two hundred twenty billion, twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 4789 9578 14367 19156 23945 28734 47890 57468 71835 80111 95780 143670 160222 240333 253817 287340 320444 400555 480666 507634 761451 801110 961332 1015268 1201665 1269085 1522902 1602220 2403330 2538170 3045804 3807255 4245883 4806660 5076340 7614510 8491766 12737649 15229020 16983532 21229415 25475298 42458830 50950596 63688245 84917660 127376490 254752980 383651579 767303158 1150954737 1534606316 1918257895 2301909474 3836515790 4603818948 5754773685 7673031580 11509547370 20333533687 23019094740 40667067374 61000601061 81334134748 101667668435 122001202122 203335336870 244002404244 305003005305 406670673740 610006010610 1220012021220