121664430000 has 250 divisors, whose sum is σ = 440027274324. Its totient is φ = 32443632000.

The previous prime is 121664429989. The next prime is 121664430001. The reversal of 121664430000 is 34466121.

121664430000 is a `hidden beast` number, since 1 + 2 + 16 + 644 + 3 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (250).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121664430001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 734899 + ... + 885101.

Almost surely, 2^121664430000 is an apocalyptic number.

121664430000 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 121664430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220013637162).

121664430000 is an abundant number, since it is smaller than the sum of its proper divisors (318362844324).

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

121664430000 is an equidigital number, since it uses as much as digits as its factorization.

121664430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150243 (or 150213 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 121664430000 its reverse (34466121), we get a palindrome (121698896121).

The spelling of 121664430000 in words is "one hundred twenty-one billion, six hundred sixty-four million, four hundred thirty thousand".