12121033233000 has 256 divisors, whose sum is σ = 38055677437440. Its totient is φ = 3211966464000.

The previous prime is 12121033232981. The next prime is 12121033233007. The reversal of 12121033233000 is 33233012121.

It is not an unprimeable number, because it can be changed into a prime (12121033233007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544827877 + ... + 544850123.

It is an arithmetic number, because the mean of its divisors is an integer number (148654989990).

Almost surely, 2^{12121033233000} is an apocalyptic number.

12121033233000 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 12121033233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027838718720).

12121033233000 is an abundant number, since it is smaller than the sum of its proper divisors (25934644204440).

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

12121033233000 is a wasteful number, since it uses less digits than its factorization.

12121033233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23405 (or 23391 counting only the distinct ones).

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

Adding to 12121033233000 its reverse (33233012121), we get a palindrome (12154266245121).

The spelling of 12121033233000 in words is "twelve trillion, one hundred twenty-one billion, thirty-three million, two hundred thirty-three thousand".