121284349200 has 540 divisors, whose sum is σ = 515390219760. Its totient is φ = 26262351360.

The previous prime is 121284349187. The next prime is 121284349213. The reversal of 121284349200 is 2943482121.

121284349200 is a `hidden beast` number, since 1 + 2 + 12 + 8 + 434 + 9 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (121284349187) and next prime (121284349213).

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 107 ways as a sum of consecutive naturals, for example, 3333507 + ... + 3369693.

Almost surely, 2^121284349200 is an apocalyptic number.

121284349200 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 121284349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257695109880).

121284349200 is an abundant number, since it is smaller than the sum of its proper divisors (394105870560).

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

121284349200 is a wasteful number, since it uses less digits than its factorization.

121284349200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36244 (or 36223 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 121284349200 in words is "one hundred twenty-one billion, two hundred eighty-four million, three hundred forty-nine thousand, two hundred".