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12133233210000 = 243547139941299
BaseRepresentation
bin1011000010001111110100…
…0011100011001010010000
31120221220222212212102201210
42300203331003203022100
53042242330200210000
641445532544100120
72361411554425050
oct260437503431220
946856885772653
1012133233210000
11395874791a511
12143b603304640
136a020b390016
142dd374639560
1516092ea42350
hexb08fd0e3290

12133233210000 has 400 divisors, whose sum is σ = 44796160640000. Its totient is φ = 2771260992000.

The previous prime is 12133233209983. The next prime is 12133233210017. The reversal of 12133233210000 is 1233233121.

It is an interprime number because it is at equal distance from previous prime (12133233209983) and next prime (12133233210017).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 79 ways as a sum of consecutive naturals, for example, 293769351 + ... + 293810649.

It is an arithmetic number, because the mean of its divisors is an integer number (111990401600).

Almost surely, 212133233210000 is an apocalyptic number.

12133233210000 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 12133233210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22398080320000).

12133233210000 is an abundant number, since it is smaller than the sum of its proper divisors (32662927430000).

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

12133233210000 is a wasteful number, since it uses less digits than its factorization.

12133233210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42736 (or 42715 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12133233210000 its reverse (1233233121), we get a palindrome (12134466443121).

The spelling of 12133233210000 in words is "twelve trillion, one hundred thirty-three billion, two hundred thirty-three million, two hundred ten thousand".