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120001332 = 223111019001
BaseRepresentation
bin1110010011100…
…01001100110100
322100210200212210
413021301030310
5221210020312
615524013420
72654665053
oct711611464
9270720783
10120001332
1161812860
1234231270
131bb27709
1411d1a39a
15a805e3c
hex7271334

120001332 has 48 divisors (see below), whose sum is σ = 308516544. Its totient is φ = 36000000.

The previous prime is 120001313. The next prime is 120001337. The reversal of 120001332 is 233100021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

120001332 is a modest number, since divided by 1332 gives 120 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120001337) 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 15 ways as a sum of consecutive naturals, for example, 8832 + ... + 17832.

It is an arithmetic number, because the mean of its divisors is an integer number (6427428).

Almost surely, 2120001332 is an apocalyptic number.

120001332 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 120001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154258272).

120001332 is an abundant number, since it is smaller than the sum of its proper divisors (188515212).

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

120001332 is a wasteful number, since it uses less digits than its factorization.

120001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9120 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 120001332 is about 10954.5119471385. The cubic root of 120001332 is about 493.2442398563.

Adding to 120001332 its reverse (233100021), we get a palindrome (353101353).

The spelling of 120001332 in words is "one hundred twenty million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 9001 13332 18002 27003 36004 54006 99011 108012 198022 297033 396044 594066 909101 1188132 1818202 2727303 3636404 5454606 10000111 10909212 20000222 30000333 40000444 60000666 120001332