Search a number
-
+
123000121130220 = 223353791226349009
BaseRepresentation
bin11011111101111000110010…
…100001101111110011101100
3121010111200210220222100211000
4123331320302201233303230
5112110213222002131340
61113333250420400300
734623315444060465
oct3375706241576354
9533450726870730
10123000121130220
1136212070853904
12119662b7846090
135382b2808b059
142253348097d6c
15e347ae824d30
hex6fde3286fcec

123000121130220 has 192 divisors, whose sum is σ = 383715835776000. Its totient is φ = 32710153577472.

The previous prime is 123000121130197. The next prime is 123000121130267. The reversal of 123000121130220 is 22031121000321.

123000121130220 is a `hidden beast` number, since 1 + 2 + 300 + 0 + 12 + 1 + 130 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123000121130193 and 123000121130202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2509721076 + ... + 2509770084.

It is an arithmetic number, because the mean of its divisors is an integer number (1998519978000).

Almost surely, 2123000121130220 is an apocalyptic number.

123000121130220 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 123000121130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191857917888000).

123000121130220 is an abundant number, since it is smaller than the sum of its proper divisors (260715714645780).

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

123000121130220 is a wasteful number, since it uses less digits than its factorization.

123000121130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61669 (or 61661 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123000121130220 its reverse (22031121000321), we get a palindrome (145031242130541).

The spelling of 123000121130220 in words is "one hundred twenty-three trillion, one hundred twenty-one million, one hundred thirty thousand, two hundred twenty".