121627200000 has 240 divisors, whose sum is σ = 405018139680. Its totient is φ = 32432640000.

The previous prime is 121627199999. The next prime is 121627200031. The reversal of 121627200000 is 2726121.

121627200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 121627200000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4787331 + ... + 4812669.

It is an arithmetic number, because the mean of its divisors is an integer number (1687575582).

Almost surely, 2^121627200000 is an apocalyptic number.

121627200000 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 121627200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202509069840).

121627200000 is an abundant number, since it is smaller than the sum of its proper divisors (283390939680).

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

121627200000 is an frugal number, since it uses more digits than its factorization.

121627200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25385 (or 25349 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 121627200000 its reverse (2726121), we get a palindrome (121629926121).

The spelling of 121627200000 in words is "one hundred twenty-one billion, six hundred twenty-seven million, two hundred thousand".