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120001320 = 23325333337
BaseRepresentation
bin1110010011100…
…01001100101000
322100210200212100
413021301030220
5221210020240
615524013400
72654665035
oct711611450
9270720770
10120001320
116181284a
1234231260
131bb276ca
1411d1a38c
15a805e30
hex7271328

120001320 has 48 divisors (see below), whose sum is σ = 390005460. Its totient is φ = 32000256.

The previous prime is 120001313. The next prime is 120001337. The reversal of 120001320 is 23100021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 117548964 + 2452356 = 10842^2 + 1566^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

120001320 is a modest number, since divided by 1320 gives 120 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166309 + ... + 167028.

Almost surely, 2120001320 is an apocalyptic number.

120001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120001320 is an abundant number, since it is smaller than the sum of its proper divisors (270004140).

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

120001320 is a wasteful number, since it uses less digits than its factorization.

120001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333354 (or 333347 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120001320 is about 10954.5113994190. The cubic root of 120001320 is about 493.2442234150.

Adding to 120001320 its reverse (23100021), we get a palindrome (143101341).

The spelling of 120001320 in words is "one hundred twenty million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 333337 666674 1000011 1333348 1666685 2000022 2666696 3000033 3333370 4000044 5000055 6000066 6666740 8000088 10000110 12000132 13333480 15000165 20000220 24000264 30000330 40000440 60000660 120001320