121414031012000 has 96 divisors (see below), whose sum is σ = 298603068747984. Its totient is φ = 48518596608000.

The previous prime is 121414031011997. The next prime is 121414031012011. The reversal of 121414031012000 is 210130414121.

121414031012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 61665274220176 + 59748756791824 = 7852724^2 + 7729732^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10559921 + ... + 18823920.

Almost surely, 2^{121414031012000} is an apocalyptic number.

121414031012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121414031012000 is an abundant number, since it is smaller than the sum of its proper divisors (177189037735984).

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

121414031012000 is a wasteful number, since it uses less digits than its factorization.

121414031012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29384899 (or 29384881 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 121414031012000 its reverse (210130414121), we get a palindrome (121624161426121).

The spelling of 121414031012000 in words is "one hundred twenty-one trillion, four hundred fourteen billion, thirty-one million, twelve thousand".