121129389600 has 288 divisors, whose sum is σ = 413523532800. Its totient is φ = 30738723840.

The previous prime is 121129389571. The next prime is 121129389629. The reversal of 121129389600 is 6983921121.

It is an interprime number because it is at equal distance from previous prime (121129389571) and next prime (121129389629).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10979287 + ... + 10990313.

It is an arithmetic number, because the mean of its divisors is an integer number (1435845600).

Almost surely, 2^121129389600 is an apocalyptic number.

121129389600 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 121129389600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206761766400).

121129389600 is an abundant number, since it is smaller than the sum of its proper divisors (292394143200).

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

121129389600 is a wasteful number, since it uses less digits than its factorization.

121129389600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11272 (or 11259 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 121129389600 in words is "one hundred twenty-one billion, one hundred twenty-nine million, three hundred eighty-nine thousand, six hundred".