121590201600 has 1728 divisors, whose sum is σ = 553669562880. Its totient is φ = 25798901760.

The previous prime is 121590201571. The next prime is 121590201611. The reversal of 121590201600 is 6102095121.

121590201600 is a `hidden beast` number, since 1 + 2 + 1 + 59 + 0 + 2 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1665619164 + ... + 1665619236.

Almost surely, 2^121590201600 is an apocalyptic number.

121590201600 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 121590201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276834781440).

121590201600 is an abundant number, since it is smaller than the sum of its proper divisors (432079361280).

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

121590201600 is an frugal number, since it uses more digits than its factorization.

121590201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 121590201600 its reverse (6102095121), we get a palindrome (127692296721).

The spelling of 121590201600 in words is "one hundred twenty-one billion, five hundred ninety million, two hundred one thousand, six hundred".