121535712 has 72 divisors (see below), whose sum is σ = 346731840. Its totient is φ = 40381440.

The previous prime is 121535699. The next prime is 121535773. The reversal of 121535712 is 217535121.

121535712 is a `hidden beast` number, since 121 + 535 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137512 + ... + 138392.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2^121535712 is an apocalyptic number.

121535712 is a gapful number since it is divisible by the number (12) 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 121535712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173365920).

121535712 is an abundant number, since it is smaller than the sum of its proper divisors (225196128).

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

121535712 is a wasteful number, since it uses less digits than its factorization.

121535712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1365 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 121535712 is about 11024.3236527236. The cubic root of 121535712 is about 495.3376086818.

The spelling of 121535712 in words is "one hundred twenty-one million, five hundred thirty-five thousand, seven hundred twelve".