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120014220 = 223517971213
BaseRepresentation
bin1110010011101…
…00010110001100
322100211100120010
413021310112030
5221210423340
615524153220
72655050454
oct711642614
9270740503
10120014220
1161821507
1234238810
131bb30541
1411d20d64
15a809b80
hex727458c

120014220 has 96 divisors (see below), whose sum is σ = 359771328. Its totient is φ = 29786112.

The previous prime is 120014183. The next prime is 120014221. The reversal of 120014220 is 22410021.

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 = 120014196 and 120014205.

It is not an unprimeable number, because it can be changed into a prime (120014221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98334 + ... + 99546.

It is an arithmetic number, because the mean of its divisors is an integer number (3747618).

Almost surely, 2120014220 is an apocalyptic number.

120014220 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 120014220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179885664).

120014220 is an abundant number, since it is smaller than the sum of its proper divisors (239757108).

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

120014220 is a wasteful number, since it uses less digits than its factorization.

120014220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1337 counting only the distinct ones).

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

The square root of 120014220 is about 10955.1001821070. The cubic root of 120014220 is about 493.2618971720.

Adding to 120014220 its reverse (22410021), we get a palindrome (142424241).

The spelling of 120014220 in words is "one hundred twenty million, fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 97 102 170 194 204 255 291 340 388 485 510 582 970 1020 1164 1213 1455 1649 1940 2426 2910 3298 3639 4852 4947 5820 6065 6596 7278 8245 9894 12130 14556 16490 18195 19788 20621 24260 24735 32980 36390 41242 49470 61863 72780 82484 98940 103105 117661 123726 206210 235322 247452 309315 352983 412420 470644 588305 618630 705966 1176610 1237260 1411932 1764915 2000237 2353220 3529830 4000474 6000711 7059660 8000948 10001185 12001422 20002370 24002844 30003555 40004740 60007110 120014220