121231231110000 has 600 divisors, whose sum is σ = 463766850902784. Its totient is φ = 29309221440000.

The previous prime is 121231231109999. The next prime is 121231231110001. The reversal of 121231231110000 is 11132132121.

Added to its reverse (11132132121) it gives a square (121242363242121 = 11011011²).

121231231110000 is a `hidden beast` number, since 1 + 21 + 231 + 2 + 311 + 100 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121231231109999) and next prime (121231231110001).

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

It is a super-2 number, since 2×121231231110000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121231231110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 363163167 + ... + 363496833.

Almost surely, 2^{121231231110000} is an apocalyptic number.

121231231110000 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 121231231110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231883425451392).

121231231110000 is an abundant number, since it is smaller than the sum of its proper divisors (342535619792784).

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

121231231110000 is a wasteful number, since it uses less digits than its factorization.

121231231110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334079 (or 334055 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121231231110000 its reverse (11132132121), we get a palindrome (121242363242121).

The spelling of 121231231110000 in words is "one hundred twenty-one trillion, two hundred thirty-one billion, two hundred thirty-one million, one hundred ten thousand".