121434600000 has 672 divisors, whose sum is σ = 475267080960. Its totient is φ = 26772480000.

The previous prime is 121434599977. The next prime is 121434600011. The reversal of 121434600000 is 6434121.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 121434600000.

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 95 ways as a sum of consecutive naturals, for example, 121799502 + ... + 121800498.

It is an arithmetic number, because the mean of its divisors is an integer number (707242680).

Almost surely, 2^121434600000 is an apocalyptic number.

121434600000 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 121434600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237633540480).

121434600000 is an abundant number, since it is smaller than the sum of its proper divisors (353832480960).

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

121434600000 is an frugal number, since it uses more digits than its factorization.

121434600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 121434600000 in words is "one hundred twenty-one billion, four hundred thirty-four million, six hundred thousand".