12122167033600 has 216 divisors, whose sum is σ = 32328900817920. Its totient is φ = 4473574440960.

The previous prime is 12122167033573. The next prime is 12122167033607. The reversal of 12122167033600 is 633076122121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122167033607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166113921 + ... + 166186879.

It is an arithmetic number, because the mean of its divisors is an integer number (149670837120).

Almost surely, 2^{12122167033600} is an apocalyptic number.

12122167033600 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 12122167033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16164450408960).

12122167033600 is an abundant number, since it is smaller than the sum of its proper divisors (20206733784320).

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

12122167033600 is a wasteful number, since it uses less digits than its factorization.

12122167033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74995 (or 74976 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 12122167033600 in words is "twelve trillion, one hundred twenty-two billion, one hundred sixty-seven million, thirty-three thousand, six hundred".