Search a number
-
+
123212233230200 = 2352113149242315101
BaseRepresentation
bin11100000000111110010101…
…011001001100011101111000
3121011020222022101022110220222
4130000332111121030131320
5112122202123201331300
61114014530223035212
734644535000140362
oct3400762531143570
9534228271273828
10123212233230200
1136294018581a94
121199b43373bb08
135399b2c830b9a
14225d70aa17d32
15e3a0762ae785
hex700f9564c778

123212233230200 has 192 divisors, whose sum is σ = 291082532472000. Its totient is φ = 48497662976000.

The previous prime is 123212233230187. The next prime is 123212233230239. The reversal of 123212233230200 is 2032332212321.

It is a super-2 number, since 2×1232122332302002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123212233230200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8159202650 + ... + 8159217750.

It is an arithmetic number, because the mean of its divisors is an integer number (1516054856625).

Almost surely, 2123212233230200 is an apocalyptic number.

123212233230200 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 123212233230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145541266236000).

123212233230200 is an abundant number, since it is smaller than the sum of its proper divisors (167870299241800).

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

123212233230200 is a wasteful number, since it uses less digits than its factorization.

123212233230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17802 (or 17793 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 123212233230200 its reverse (2032332212321), we get a palindrome (125244565442521).

The spelling of 123212233230200 in words is "one hundred twenty-three trillion, two hundred twelve billion, two hundred thirty-three million, two hundred thirty thousand, two hundred".