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120900 = 223521331
BaseRepresentation
bin11101100001000100
320010211210
4131201010
512332100
62331420
71012323
oct354104
9203753
10120900
118291a
1259b70
1343050
14320ba
1525c50
hex1d844

120900 has 72 divisors (see below), whose sum is σ = 388864. Its totient is φ = 28800.

The previous prime is 120899. The next prime is 120907. The reversal of 120900 is 9021.

It is a happy number.

120900 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

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

It is not an unprimeable number, because it can be changed into a prime (120907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3885 + ... + 3915.

2120900 is an apocalyptic number.

120900 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 120900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194432).

120900 is an abundant number, since it is smaller than the sum of its proper divisors (267964).

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

120900 is a wasteful number, since it uses less digits than its factorization.

120900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 120900 is about 347.7067730143. The cubic root of 120900 is about 49.4472450919.

Adding to 120900 its reverse (9021), we get a palindrome (129921).

The spelling of 120900 in words is "one hundred twenty thousand, nine hundred".