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120020120 = 23511416653
BaseRepresentation
bin1110010011101…
…01110010011000
322100211122122122
413021311302120
5221211120440
615524240412
72655103613
oct711656230
9270748578
10120020120
1161825990
1234240108
131bb3312c
1411d2317a
15a80b7b5
hex7275c98

120020120 has 64 divisors (see below), whose sum is σ = 301825440. Its totient is φ = 42572800.

The previous prime is 120020113. The next prime is 120020129. The reversal of 120020120 is 21020021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 120020098 and 120020107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14714 + ... + 21366.

Almost surely, 2120020120 is an apocalyptic number.

120020120 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 120020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150912720).

120020120 is an abundant number, since it is smaller than the sum of its proper divisors (181805320).

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

120020120 is a wasteful number, since it uses less digits than its factorization.

120020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6716 (or 6712 counting only the distinct ones).

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

The square root of 120020120 is about 10955.3694597672. The cubic root of 120020120 is about 493.2699800961.

Adding to 120020120 its reverse (21020021), we get a palindrome (141040141).

Subtracting from 120020120 its reverse (21020021), we obtain a palindrome (99000099).

The spelling of 120020120 in words is "one hundred twenty million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1640 1804 2255 3608 4510 6653 9020 13306 18040 26612 33265 53224 66530 73183 133060 146366 266120 272773 292732 365915 545546 585464 731830 1091092 1363865 1463660 2182184 2727730 2927320 3000503 5455460 6001006 10910920 12002012 15002515 24004024 30005030 60010060 120020120