121893049387200 has 2016 divisors, whose sum is σ = 520505480183808. Its totient is φ = 24726933504000.

The previous prime is 121893049387147. The next prime is 121893049387217. The reversal of 121893049387200 is 2783940398121.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14881335105 + ... + 14881343295.

Almost surely, 2^{121893049387200} is an apocalyptic number.

121893049387200 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 121893049387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260252740091904).

121893049387200 is an abundant number, since it is smaller than the sum of its proper divisors (398612430796608).

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

121893049387200 is a wasteful number, since it uses less digits than its factorization.

121893049387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8431 (or 8409 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 121893049387200 in words is "one hundred twenty-one trillion, eight hundred ninety-three billion, forty-nine million, three hundred eighty-seven thousand, two hundred".