10332123001200 has 1440 divisors, whose sum is σ = 49443189100032. Its totient is φ = 1928199168000.

The previous prime is 10332123001177. The next prime is 10332123001229. The reversal of 10332123001200 is 210032123301.

10332123001200 is a `hidden beast` number, since 1 + 0 + 33 + 212 + 300 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 287 ways as a sum of consecutive naturals, for example, 133294455 + ... + 133371945.

Almost surely, 2^{10332123001200} is an apocalyptic number.

10332123001200 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 10332123001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24721594550016).

10332123001200 is an abundant number, since it is smaller than the sum of its proper divisors (39111066098832).

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

10332123001200 is a wasteful number, since it uses less digits than its factorization.

10332123001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77583 (or 77569 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10332123001200 its reverse (210032123301), we get a palindrome (10542155124501).

The spelling of 10332123001200 in words is "ten trillion, three hundred thirty-two billion, one hundred twenty-three million, one thousand, two hundred".