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120022020 = 22335474729
BaseRepresentation
bin1110010011101…
…10010000000100
322100211202021000
413021312100010
5221211201040
615524253300
72655112266
oct711662004
9270752230
10120022020
1161827358
1234241230
131bb33c61
1411d23b36
15a80c130
hex7276404

120022020 has 96 divisors (see below), whose sum is σ = 381427200. Its totient is φ = 31318272.

The previous prime is 120022013. The next prime is 120022061. The reversal of 120022020 is 20220021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120021993 and 120022011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23016 + ... + 27744.

It is an arithmetic number, because the mean of its divisors is an integer number (3973200).

Almost surely, 2120022020 is an apocalyptic number.

120022020 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 120022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190713600).

120022020 is an abundant number, since it is smaller than the sum of its proper divisors (261405180).

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

120022020 is a wasteful number, since it uses less digits than its factorization.

120022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 120022020 is about 10955.4561748929. The cubic root of 120022020 is about 493.2725830153.

Adding to 120022020 its reverse (20220021), we get a palindrome (140242041).

It can be divided in two parts, 1200 and 22020, that added together give a triangular number (23220 = T215).

The spelling of 120022020 in words is "one hundred twenty million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 4729 5076 6345 8460 9458 12690 14187 18916 23645 25380 28374 42561 47290 56748 70935 85122 94580 127683 141870 170244 212805 222263 255366 283740 425610 444526 510732 638415 666789 851220 889052 1111315 1276830 1333578 2000367 2222630 2553660 2667156 3333945 4000734 4445260 6001101 6667890 8001468 10001835 12002202 13335780 20003670 24004404 30005505 40007340 60011010 120022020