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120010220 = 225112101491
BaseRepresentation
bin1110010011100…
…11010111101100
322100211011001222
413021303113230
5221210311340
615524122512
72655033011
oct711632754
9270734058
10120010220
1161819500
1234236438
131bb2b785
1411d1d708
15a8088b5
hex72735ec

120010220 has 72 divisors (see below), whose sum is σ = 280327824. Its totient is φ = 43120000.

The previous prime is 120010211. The next prime is 120010229. The reversal of 120010220 is 22010021.

It is an interprime number because it is at equal distance from previous prime (120010211) and next prime (120010229).

It is a junction number, because it is equal to n+sod(n) for n = 120010198 and 120010207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244175 + ... + 244665.

It is an arithmetic number, because the mean of its divisors is an integer number (3893442).

Almost surely, 2120010220 is an apocalyptic number.

120010220 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 120010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140163912).

120010220 is an abundant number, since it is smaller than the sum of its proper divisors (160317604).

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

120010220 is a wasteful number, since it uses less digits than its factorization.

120010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 610 counting only the distinct ones).

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

The square root of 120010220 is about 10954.9176172165. The cubic root of 120010220 is about 493.2564170727.

Adding to 120010220 its reverse (22010021), we get a palindrome (142020241).

The spelling of 120010220 in words is "one hundred twenty million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 491 505 605 982 1010 1111 1210 1964 2020 2222 2420 2455 4444 4910 5401 5555 9820 10802 11110 12221 21604 22220 24442 27005 48884 49591 54010 59411 61105 99182 108020 118822 122210 198364 237644 244420 247955 297055 495910 545501 594110 991820 1091002 1188220 2182004 2727505 5455010 6000511 10910020 12001022 24002044 30002555 60005110 120010220