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12233425323000 = 23353710121372699
BaseRepresentation
bin1011001000000101000011…
…1110001000001111111000
31121022111121110000010110210
42302001100332020033320
53100413023340314000
642003542532511120
72401556453351550
oct262012076101770
947274543003423
1012233425323000
113997191740992
121456b0547b4a0
136a97b7924b9b
1430415adc8160
15163345a79350
hexb2050f883f8

12233425323000 has 512 divisors, whose sum is σ = 44089733376000. Its totient is φ = 2766205440000.

The previous prime is 12233425322971. The next prime is 12233425323017. The reversal of 12233425323000 is 32352433221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4532575651 + ... + 4532578349.

It is an arithmetic number, because the mean of its divisors is an integer number (86112760500).

Almost surely, 212233425323000 is an apocalyptic number.

12233425323000 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 12233425323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22044866688000).

12233425323000 is an abundant number, since it is smaller than the sum of its proper divisors (31856308053000).

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

12233425323000 is a wasteful number, since it uses less digits than its factorization.

12233425323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 12233425323000 its reverse (32352433221), we get a palindrome (12265777756221).

The spelling of 12233425323000 in words is "twelve trillion, two hundred thirty-three billion, four hundred twenty-five million, three hundred twenty-three thousand".