121231331100000 has 1440 divisors, whose sum is σ = 501850953483264. Its totient is φ = 28440720000000.

The previous prime is 121231331099947. The next prime is 121231331100029. The reversal of 121231331100000 is 1133132121.

121231331100000 is a `hidden beast` number, since 1 + 2 + 1 + 231 + 331 + 100 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2762078055 + ... + 2762121945.

Almost surely, 2^{121231331100000} is an apocalyptic number.

121231331100000 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 121231331100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250925476741632).

121231331100000 is an abundant number, since it is smaller than the sum of its proper divisors (380619622383264).

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

121231331100000 is an equidigital number, since it uses as much as digits as its factorization.

121231331100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43980 (or 43943 counting only the distinct ones).

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

Adding to 121231331100000 its reverse (1133132121), we get a palindrome (121232464232121).

The spelling of 121231331100000 in words is "one hundred twenty-one trillion, two hundred thirty-one billion, three hundred thirty-one million, one hundred thousand".