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120021 = 3113637
BaseRepresentation
bin11101010011010101
320002122020
4131103111
512320041
62323353
71006626
oct352325
9202566
10120021
11821a0
1259559
1342825
1431a4d
1525866
hex1d4d5

120021 has 8 divisors (see below), whose sum is σ = 174624. Its totient is φ = 72720.

The previous prime is 120017. The next prime is 120041.

It is a happy number.

120021 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 120021 - 22 = 120017 is a prime.

It is a Curzon number.

120021 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 119991 and 120009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1786 + ... + 1851.

It is an arithmetic number, because the mean of its divisors is an integer number (21828).

2120021 is an apocalyptic number.

120021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120021 is a deficient number, since it is larger than the sum of its proper divisors (54603).

120021 is a wasteful number, since it uses less digits than its factorization.

120021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 120021 is about 346.4404710769. The cubic root of 120021 is about 49.3271185662.

It can be divided in two parts, 1200 and 21, that multiplied together give a triangular number (25200 = T224).

The spelling of 120021 in words is "one hundred twenty thousand, twenty-one", and thus it is an iban number.

Divisors: 1 3 11 33 3637 10911 40007 120021