Search a number
-
+
12203002113120 = 25325713227410239
BaseRepresentation
bin1011000110010011101110…
…0110110010110001100000
31121012121002012100221021200
42301210323212302301200
53044413222020104440
641541552021521200
72366431524342630
oct261447346626140
947177065327250
1012203002113120
11398529a61a025
121451034873200
136a6979983050
143028b26966c0
15162664c04c30
hexb193b9b2c60

12203002113120 has 576 divisors, whose sum is σ = 51478516776960. Its totient is φ = 2563350810624.

The previous prime is 12203002113119. The next prime is 12203002113139. The reversal of 12203002113120 is 2131120030221.

12203002113120 is a `hidden beast` number, since 1 + 220 + 300 + 21 + 1 + 3 + 120 = 666.

It is a super-2 number, since 2×122030021131202 (a number of 27 digits) contains 22 as substring.

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 = 12203002113093 and 12203002113102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29540961 + ... + 29951199.

It is an arithmetic number, because the mean of its divisors is an integer number (89372424960).

Almost surely, 212203002113120 is an apocalyptic number.

12203002113120 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 12203002113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25739258388480).

12203002113120 is an abundant number, since it is smaller than the sum of its proper divisors (39275514663840).

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

12203002113120 is a wasteful number, since it uses less digits than its factorization.

12203002113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410507 (or 410496 counting only the distinct ones).

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

Adding to 12203002113120 its reverse (2131120030221), we get a palindrome (14334122143341).

The spelling of 12203002113120 in words is "twelve trillion, two hundred three billion, two million, one hundred thirteen thousand, one hundred twenty".