121089427200 has 1296 divisors, whose sum is σ = 525870508800. Its totient is φ = 27555655680.

The previous prime is 121089427141. The next prime is 121089427201. The reversal of 121089427200 is 2724980121.

121089427200 is a `hidden beast` number, since 1 + 21 + 0 + 8 + 9 + 427 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121089427201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 533433487 + ... + 533433713.

Almost surely, 2^121089427200 is an apocalyptic number.

121089427200 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 121089427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262935254400).

121089427200 is an abundant number, since it is smaller than the sum of its proper divisors (404781081600).

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

121089427200 is an frugal number, since it uses more digits than its factorization.

121089427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 121089427200 in words is "one hundred twenty-one billion, eighty-nine million, four hundred twenty-seven thousand, two hundred".