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120201012 = 223231374171
BaseRepresentation
bin1110010101000…
…01111100110100
322101011211210100
413022201330310
5221232413022
615532154100
72656456161
oct712417464
9271154710
10120201012
1161939888
1234308930
131bb97579
1411d6d068
15a8451ac
hex72a1f34

120201012 has 144 divisors (see below), whose sum is σ = 334623744. Its totient is φ = 36288000.

The previous prime is 120201007. The next prime is 120201017. The reversal of 120201012 is 210102021.

It is an interprime number because it is at equal distance from previous prime (120201007) and next prime (120201017).

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 = 120200985 and 120201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692937 + ... + 1693007.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 2120201012 is an apocalyptic number.

120201012 is a gapful number since it is divisible by the number (12) 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 120201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

120201012 is an abundant number, since it is smaller than the sum of its proper divisors (214422732).

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

120201012 is a wasteful number, since it uses less digits than its factorization.

120201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120201012 is about 10963.6222116598. The cubic root of 120201012 is about 493.5176713523.

Adding to 120201012 its reverse (210102021), we get a palindrome (330303033).

The spelling of 120201012 in words is "one hundred twenty million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 41 62 71 74 82 93 111 123 124 142 148 164 186 213 222 246 279 284 333 369 372 426 444 492 558 639 666 738 852 1116 1147 1271 1278 1332 1476 1517 2201 2294 2542 2556 2627 2911 3034 3441 3813 4402 4551 4588 5084 5254 5822 6068 6603 6882 7626 7881 8733 8804 9102 10323 10508 11439 11644 13206 13653 13764 15252 15762 17466 18204 19809 20646 22878 23643 26199 26412 27306 31524 34932 39618 41292 45756 47027 47286 52398 54612 79236 81437 90241 94054 94572 104796 107707 141081 162874 180482 188108 215414 244311 270723 282162 323121 325748 360964 423243 430828 488622 541446 564324 646242 732933 812169 846486 969363 977244 1082892 1292484 1465866 1624338 1692972 1938726 2931732 3248676 3338917 3877452 6677834 10016751 13355668 20033502 30050253 40067004 60100506 120201012