Search a number
-
+
120213000 = 23325319237
BaseRepresentation
bin1110010101001…
…00111000001000
322101012110020100
413022210320020
5221233304000
615532325400
72656536135
oct712447010
9271173210
10120213000
1161947896
1234313860
131bb9cb6b
1411d7358c
15a848a00
hex72a4e08

120213000 has 288 divisors, whose sum is σ = 440420760. Its totient is φ = 29548800.

The previous prime is 120212987. The next prime is 120213013. The reversal of 120213000 is 312021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120212987) and next prime (120213013).

It can be written as a sum of positive squares in 4 ways, for example, as 61873956 + 58339044 = 7866^2 + 7638^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3248982 + ... + 3249018.

Almost surely, 2120213000 is an apocalyptic number.

120213000 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 120213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220210380).

120213000 is an abundant number, since it is smaller than the sum of its proper divisors (320207760).

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

120213000 is a wasteful number, since it uses less digits than its factorization.

120213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 66 counting only the distinct ones).

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

The square root of 120213000 is about 10964.1689151527. The cubic root of 120213000 is about 493.5340774625.

Adding to 120213000 its reverse (312021), we get a palindrome (120525021).

The spelling of 120213000 in words is "one hundred twenty million, two hundred thirteen thousand".