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1000120112220 = 2235232393032321
BaseRepresentation
bin11101000110110111100…
…11011101010001011100
310112121111002102202110210
432203123303131101130
5112341221222042340
62043240540532420
7132153623455305
oct16433363352134
93477432382423
101000120112220
1135616a803a99
121419b6251110
1373407131868
14365983917ac
151b037090180
hexe8dbcdd45c

1000120112220 has 96 divisors (see below), whose sum is σ = 2934317352960. Its totient is φ = 254035640320.

The previous prime is 1000120112213. The next prime is 1000120112221. The reversal of 1000120112220 is 222110210001.

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 = 1000120112196 and 1000120112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000120112221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1186341 + ... + 1845980.

It is an arithmetic number, because the mean of its divisors is an integer number (30565805760).

Almost surely, 21000120112220 is an apocalyptic number.

1000120112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000120112220 is an abundant number, since it is smaller than the sum of its proper divisors (1934197240740).

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

1000120112220 is a wasteful number, since it uses less digits than its factorization.

1000120112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032595 (or 3032593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000120112220 its reverse (222110210001), we get a palindrome (1222230322221).

The spelling of 1000120112220 in words is "one trillion, one hundred twenty million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 239 276 345 460 478 690 717 956 1195 1380 1434 2390 2868 3585 4780 5497 7170 10994 14340 16491 21988 27485 32982 54970 65964 82455 109940 164910 329820 3032321 6064642 9096963 12129284 15161605 18193926 30323210 36387852 45484815 60646420 69743383 90969630 139486766 181939260 209230149 278973532 348716915 418460298 697433830 724724719 836920596 1046150745 1394867660 1449449438 2092301490 2174174157 2898898876 3623623595 4184602980 4348348314 7247247190 8696696628 10870870785 14494494380 16668668537 21741741570 33337337074 43483483140 50006005611 66674674148 83343342685 100012011222 166686685370 200024022444 250030028055 333373370740 500060056110 1000120112220