121698828000 has 768 divisors, whose sum is σ = 458535168000. Its totient is φ = 31336704000.

The previous prime is 121698827983. The next prime is 121698828061. The reversal of 121698828000 is 828896121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 452411866 + ... + 452412134.

It is an arithmetic number, because the mean of its divisors is an integer number (597051000).

Almost surely, 2^121698828000 is an apocalyptic number.

121698828000 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 121698828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229267584000).

121698828000 is an abundant number, since it is smaller than the sum of its proper divisors (336836340000).

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

121698828000 is a wasteful number, since it uses less digits than its factorization.

121698828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 121698828000 in words is "one hundred twenty-one billion, six hundred ninety-eight million, eight hundred twenty-eight thousand".