121233112000 has 448 divisors, whose sum is σ = 403137745920. Its totient is φ = 34877952000.

The previous prime is 121233111977. The next prime is 121233112001. The reversal of 121233112000 is 211332121.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121233112001) 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, 8000431 + ... + 8015569.

It is an arithmetic number, because the mean of its divisors is an integer number (899861040).

Almost surely, 2^121233112000 is an apocalyptic number.

121233112000 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 121233112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201568872960).

121233112000 is an abundant number, since it is smaller than the sum of its proper divisors (281904633920).

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

121233112000 is a wasteful number, since it uses less digits than its factorization.

121233112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15197 (or 15177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121233112000 its reverse (211332121), we get a palindrome (121444444121).

The spelling of 121233112000 in words is "one hundred twenty-one billion, two hundred thirty-three million, one hundred twelve thousand".