121751162208 has 240 divisors, whose sum is σ = 390500066880. Its totient is φ = 36986886144.

The previous prime is 121751162189. The next prime is 121751162311. The reversal of 121751162208 is 802261157121.

It is a happy number.

121751162208 is a `hidden beast` number, since 1 + 2 + 17 + 5 + 11 + 622 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 2639116 + ... + 2684852.

It is an arithmetic number, because the mean of its divisors is an integer number (1627083612).

Almost surely, 2^121751162208 is an apocalyptic number.

121751162208 is a gapful number since it is divisible by the number (18) 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 121751162208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195250033440).

121751162208 is an abundant number, since it is smaller than the sum of its proper divisors (268748904672).

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

121751162208 is a wasteful number, since it uses less digits than its factorization.

121751162208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45851 (or 45834 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 121751162208 in words is "one hundred twenty-one billion, seven hundred fifty-one million, one hundred sixty-two thousand, two hundred eight".