Search a number
-
+
122110000 = 245412211
BaseRepresentation
bin1110100011101…
…00000000110000
322111202211102121
413101310000300
5222230010000
620041124024
73011626555
oct721640060
9274684377
10122110000
1162a23061
1234a89614
131c3b544c
1412308a2c
15aac0b1a
hex7474030

122110000 has 50 divisors (see below), whose sum is σ = 295664732. Its totient is φ = 48840000.

The previous prime is 122109991. The next prime is 122110057. The reversal of 122110000 is 11221.

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3895 + ... + 16105.

Almost surely, 2122110000 is an apocalyptic number.

122110000 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 122110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147832366).

122110000 is an abundant number, since it is smaller than the sum of its proper divisors (173554732).

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

122110000 is an equidigital number, since it uses as much as digits as its factorization.

122110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12239 (or 12218 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 122110000 is about 11050.3393613047. The cubic root of 122110000 is about 496.1165828973.

Adding to 122110000 its reverse (11221), we get a palindrome (122121221).

The spelling of 122110000 in words is "one hundred twenty-two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 12211 24422 48844 61055 97688 122110 195376 244220 305275 488440 610550 976880 1221100 1526375 2442200 3052750 4884400 6105500 7631875 12211000 15263750 24422000 30527500 61055000 122110000