121380249600 has 672 divisors, whose sum is σ = 453103975680. Its totient is φ = 32248627200.

The previous prime is 121380249593. The next prime is 121380249623. The reversal of 121380249600 is 6942083121.

121380249600 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 8 + 0 + 2 + 49 + 600 = 666.

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

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, 447897465 + ... + 447897735.

Almost surely, 2^121380249600 is an apocalyptic number.

121380249600 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 121380249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226551987840).

121380249600 is an abundant number, since it is smaller than the sum of its proper divisors (331723726080).

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

121380249600 is an frugal number, since it uses more digits than its factorization.

121380249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 121380249600 in words is "one hundred twenty-one billion, three hundred eighty million, two hundred forty-nine thousand, six hundred".