121412133000 has 192 divisors, whose sum is σ = 421465327920. Its totient is φ = 31501440000.

The previous prime is 121412132977. The next prime is 121412133041. The reversal of 121412133000 is 331214121.

121412133000 is a `hidden beast` number, since 1 + 214 + 121 + 330 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4886848836 + 116525284164 = 69906^2 + 341358^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 150700 + ... + 515300.

Almost surely, 2^121412133000 is an apocalyptic number.

121412133000 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 121412133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210732663960).

121412133000 is an abundant number, since it is smaller than the sum of its proper divisors (300053194920).

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

121412133000 is a wasteful number, since it uses less digits than its factorization.

121412133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364665 (or 364648 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121412133000 its reverse (331214121), we get a palindrome (121743347121).

The spelling of 121412133000 in words is "one hundred twenty-one billion, four hundred twelve million, one hundred thirty-three thousand".