121198662789120 has 1920 divisors, whose sum is σ = 523428423598080. Its totient is φ = 26236686827520.

The previous prime is 121198662789107. The next prime is 121198662789121. The reversal of 121198662789120 is 21987266891121.

121198662789120 is a `hidden beast` number, since 1 + 211 + 9 + 8 + 66 + 278 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (121198662789121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8459451397 + ... + 8459465723.

It is an arithmetic number, because the mean of its divisors is an integer number (272618970624).

Almost surely, 2^{121198662789120} is an apocalyptic number.

121198662789120 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 121198662789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261714211799040).

121198662789120 is an abundant number, since it is smaller than the sum of its proper divisors (402229760808960).

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

121198662789120 is a wasteful number, since it uses less digits than its factorization.

121198662789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14451 (or 14422 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 121198662789120 in words is "one hundred twenty-one trillion, one hundred ninety-eight billion, six hundred sixty-two million, seven hundred eighty-nine thousand, one hundred twenty".