121567536000 has 768 divisors, whose sum is σ = 462819614400. Its totient is φ = 30527078400.

The previous prime is 121567535987. The next prime is 121567536001. The reversal of 121567536000 is 635765121.

It is a super-2 number, since 2×121567536000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121567536001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 179567662 + ... + 179568338.

Almost surely, 2^121567536000 is an apocalyptic number.

121567536000 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 121567536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231409807200).

121567536000 is an abundant number, since it is smaller than the sum of its proper divisors (341252078400).

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

121567536000 is a wasteful number, since it uses less digits than its factorization.

121567536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 121567536000 in words is "one hundred twenty-one billion, five hundred sixty-seven million, five hundred thirty-six thousand".