121402100019200 has 1248 divisors, whose sum is σ = 408008550781440. Its totient is φ = 34599311769600.

The previous prime is 121402100019133. The next prime is 121402100019229. The reversal of 121402100019200 is 2910001204121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10967751266 + ... + 10967762334.

Almost surely, 2^{121402100019200} is an apocalyptic number.

121402100019200 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 121402100019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204004275390720).

121402100019200 is an abundant number, since it is smaller than the sum of its proper divisors (286606450762240).

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

121402100019200 is a wasteful number, since it uses less digits than its factorization.

121402100019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11241 (or 11214 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 121402100019200 in words is "one hundred twenty-one trillion, four hundred two billion, one hundred million, nineteen thousand, two hundred".