121333212000 has 2592 divisors, whose sum is σ = 607714065504. Its totient is φ = 22643712000.

The previous prime is 121333211999. The next prime is 121333212019. The reversal of 121333212000 is 212333121.

121333212000 is a `hidden beast` number, since 1 + 213 + 332 + 120 + 0 + 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 (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3279275982 + ... + 3279276018.

It is an arithmetic number, because the mean of its divisors is an integer number (234457587).

Almost surely, 2^121333212000 is an apocalyptic number.

121333212000 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 121333212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303857032752).

121333212000 is an abundant number, since it is smaller than the sum of its proper divisors (486380853504).

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

121333212000 is a wasteful number, since it uses less digits than its factorization.

121333212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

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

Adding to 121333212000 its reverse (212333121), we get a palindrome (121545545121).

It can be divided in two parts, 121333 and 212000, that added together give a palindrome (333333).

The spelling of 121333212000 in words is "one hundred twenty-one billion, three hundred thirty-three million, two hundred twelve thousand".