121589243136 has 432 divisors, whose sum is σ = 377983936512. Its totient is φ = 37495603200.

The previous prime is 121589243099. The next prime is 121589243137. The reversal of 121589243136 is 631342985121.

121589243136 is a `hidden beast` number, since 1 + 2 + 1 + 589 + 2 + 4 + 31 + 36 = 666.

It is a super-2 number, since 2×121589243136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121589243091 and 121589243100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121589243137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414980206 + ... + 414980498.

It is an arithmetic number, because the mean of its divisors is an integer number (874962816).

Almost surely, 2^121589243136 is an apocalyptic number.

121589243136 is a gapful number since it is divisible by the number (16) 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 121589243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188991968256).

121589243136 is an abundant number, since it is smaller than the sum of its proper divisors (256394693376).

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

121589243136 is a wasteful number, since it uses less digits than its factorization.

121589243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 553 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 121589243136 in words is "one hundred twenty-one billion, five hundred eighty-nine million, two hundred forty-three thousand, one hundred thirty-six".