Search a number
-
+
123032310123200 = 26521621264717921
BaseRepresentation
bin11011111110010110110001…
…001001000000101011000000
3121010121202220020020122001012
4123332112301021000223000
5112111230132342420300
61113400132450300052
734625535224023202
oct3376266111005300
9533552806218035
10123032310123200
1136224789689745
121197059b887628
135385b87acc76a
142254b1d116772
15e355456e4435
hex6fe5b1240ac0

123032310123200 has 168 divisors, whose sum is σ = 303054486929184. Its totient is φ = 49161240576000.

The previous prime is 123032310123187. The next prime is 123032310123287. The reversal of 123032310123200 is 2321013230321.

It is a super-2 number, since 2×1230323101232002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6865250240 + ... + 6865268160.

Almost surely, 2123032310123200 is an apocalyptic number.

123032310123200 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 123032310123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151527243464592).

123032310123200 is an abundant number, since it is smaller than the sum of its proper divisors (180022176805984).

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

123032310123200 is a wasteful number, since it uses less digits than its factorization.

123032310123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22211 (or 22196 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 123032310123200 its reverse (2321013230321), we get a palindrome (125353323353521).

The spelling of 123032310123200 in words is "one hundred twenty-three trillion, thirty-two billion, three hundred ten million, one hundred twenty-three thousand, two hundred".