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120021020 = 225717211239
BaseRepresentation
bin1110010011101…
…10000000011100
322100211200212222
413021312000130
5221211133040
615524244512
72655106340
oct711660034
9270750788
10120021020
1161826629
1234240738
131bb33672
1411d23620
15a80bbb5
hex727601c

120021020 has 96 divisors (see below), whose sum is σ = 307722240. Its totient is φ = 38384640.

The previous prime is 120021017. The next prime is 120021023. The reversal of 120021020 is 20120021.

It is an interprime number because it is at equal distance from previous prime (120021017) and next prime (120021023).

It is a junction number, because it is equal to n+sod(n) for n = 120020989 and 120021007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021023) 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, 502061 + ... + 502299.

It is an arithmetic number, because the mean of its divisors is an integer number (3205440).

Almost surely, 2120021020 is an apocalyptic number.

120021020 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 120021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153861120).

120021020 is an abundant number, since it is smaller than the sum of its proper divisors (187701220).

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

120021020 is a wasteful number, since it uses less digits than its factorization.

120021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 120021020 is about 10955.4105354386. The cubic root of 120021020 is about 493.2712130612.

Adding to 120021020 its reverse (20120021), we get a palindrome (140141041).

Subtracting from 120021020 its reverse (20120021), we obtain a palindrome (99900999).

The spelling of 120021020 in words is "one hundred twenty million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 211 238 239 340 422 476 478 595 844 956 1055 1190 1195 1477 1673 2110 2380 2390 2954 3346 3587 4063 4220 4780 5908 6692 7174 7385 8126 8365 14348 14770 16252 16730 17935 20315 25109 28441 29540 33460 35870 40630 50218 50429 56882 71740 81260 100436 100858 113764 125545 142205 201716 251090 252145 284410 353003 502180 504290 568820 706006 857293 1008580 1412012 1714586 1765015 3429172 3530030 4286465 6001051 7060060 8572930 12002102 17145860 24004204 30005255 60010510 120021020