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1220220021000 = 23353443918149
BaseRepresentation
bin10001110000011010110…
…001111110100100001000
311022122121020020121022010
4101300122301332210020
5124443002311133000
62332321125455520
7154105122021411
oct21603261764410
94278536217263
101220220021000
11430546433152
121785a12715a0
138b0b2739786
14430b7b24808
1521b19e17d50
hex11c1ac7e908

1220220021000 has 128 divisors (see below), whose sum is σ = 3815684496000. Its totient is φ = 324657132800.

The previous prime is 1220220020959. The next prime is 1220220021001. The reversal of 1220220021000 is 1200220221.

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

It is not an unprimeable number, because it can be changed into a prime (1220220021001) 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, 869926 + ... + 1788074.

It is an arithmetic number, because the mean of its divisors is an integer number (29810035125).

Almost surely, 21220220021000 is an apocalyptic number.

1220220021000 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 1220220021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907842248000).

1220220021000 is an abundant number, since it is smaller than the sum of its proper divisors (2595464475000).

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

1220220021000 is a wasteful number, since it uses less digits than its factorization.

1220220021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918616 (or 918602 counting only the distinct ones).

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

Adding to 1220220021000 its reverse (1200220221), we get a palindrome (1221420241221).

The spelling of 1220220021000 in words is "one trillion, two hundred twenty billion, two hundred twenty million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 443 500 600 750 886 1000 1329 1500 1772 2215 2658 3000 3544 4430 5316 6645 8860 10632 11075 13290 17720 22150 26580 33225 44300 53160 55375 66450 88600 110750 132900 166125 221500 265800 332250 443000 664500 918149 1329000 1836298 2754447 3672596 4590745 5508894 7345192 9181490 11017788 13772235 18362980 22035576 22953725 27544470 36725960 45907450 55088940 68861175 91814900 110177880 114768625 137722350 183629800 229537250 275444700 344305875 406740007 459074500 550889400 688611750 813480014 918149000 1220220021 1377223500 1626960028 2033700035 2440440042 2754447000 3253920056 4067400070 4880880084 6101100105 8134800140 9761760168 10168500175 12202200210 16269600280 20337000350 24404400420 30505500525 40674000700 48808800840 50842500875 61011001050 81348001400 101685001750 122022002100 152527502625 203370003500 244044004200 305055005250 406740007000 610110010500 1220220021000