121670881920 has 512 divisors, whose sum is σ = 498451968000. Its totient is φ = 27473154048.

The previous prime is 121670881919. The next prime is 121670881921. The reversal of 121670881920 is 29188076121.

It is an interprime number because it is at equal distance from previous prime (121670881919) and next prime (121670881921).

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

It is not an unprimeable number, because it can be changed into a prime (121670881921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10033621 + ... + 10045739.

It is an arithmetic number, because the mean of its divisors is an integer number (973539000).

Almost surely, 2^121670881920 is an apocalyptic number.

121670881920 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 121670881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249225984000).

121670881920 is an abundant number, since it is smaller than the sum of its proper divisors (376781086080).

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

121670881920 is a wasteful number, since it uses less digits than its factorization.

121670881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12237 (or 12219 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 121670881920 in words is "one hundred twenty-one billion, six hundred seventy million, eight hundred eighty-one thousand, nine hundred twenty".