121133132010000 has 600 divisors, whose sum is σ = 463391576529024. Its totient is φ = 29285504640000.

The previous prime is 121133132009987. The next prime is 121133132010043. The reversal of 121133132010000 is 10231331121.

121133132010000 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 331 + 320 + 10 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 363163302 + ... + 363496698.

Almost surely, 2^{121133132010000} is an apocalyptic number.

121133132010000 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 121133132010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231695788264512).

121133132010000 is an abundant number, since it is smaller than the sum of its proper divisors (342258444519024).

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

121133132010000 is a wasteful number, since it uses less digits than its factorization.

121133132010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333809 (or 333785 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121133132010000 its reverse (10231331121), we get a palindrome (121143363341121).

The spelling of 121133132010000 in words is "one hundred twenty-one trillion, one hundred thirty-three billion, one hundred thirty-two million, ten thousand".