121588134240 has 384 divisors, whose sum is σ = 397898790912. Its totient is φ = 31195791360.

The previous prime is 121588134223. The next prime is 121588134257. The reversal of 121588134240 is 42431885121.

It is an interprime number because it is at equal distance from previous prime (121588134223) and next prime (121588134257).

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 63 ways as a sum of consecutive naturals, for example, 282106825 + ... + 282107255.

It is an arithmetic number, because the mean of its divisors is an integer number (1036194768).

Almost surely, 2^121588134240 is an apocalyptic number.

121588134240 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 121588134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198949395456).

121588134240 is an abundant number, since it is smaller than the sum of its proper divisors (276310656672).

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

121588134240 is a wasteful number, since it uses less digits than its factorization.

121588134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 121588134240 in words is "one hundred twenty-one billion, five hundred eighty-eight million, one hundred thirty-four thousand, two hundred forty".