121331200232000 has 336 divisors, whose sum is σ = 330349353660144. Its totient is φ = 44110646272000.

The previous prime is 121331200231957. The next prime is 121331200232009. The reversal of 121331200232000 is 232002133121.

It can be written as a sum of positive squares in 8 ways, for example, as 43401006147136 + 77930194084864 = 6587944^2 + 8827808^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (121331200232009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5475964922 + ... + 5475987078.

It is an arithmetic number, because the mean of its divisors is an integer number (983182600179).

Almost surely, 2^{121331200232000} is an apocalyptic number.

121331200232000 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 121331200232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165174676830072).

121331200232000 is an abundant number, since it is smaller than the sum of its proper divisors (209018153428144).

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

121331200232000 is a wasteful number, since it uses less digits than its factorization.

121331200232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27863 (or 27832 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 121331200232000 its reverse (232002133121), we get a palindrome (121563202365121).

The spelling of 121331200232000 in words is "one hundred twenty-one trillion, three hundred thirty-one billion, two hundred million, two hundred thirty-two thousand".