121356064 has 48 divisors (see below), whose sum is σ = 259191576. Its totient is φ = 55705600.

The previous prime is 121356049. The next prime is 121356071. The reversal of 121356064 is 460653121.

It can be written as a sum of positive squares in 4 ways, for example, as 102171664 + 19184400 = 10108^2 + 4380^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19584 + ... + 25024.

Almost surely, 2^121356064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121356064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129595788).

121356064 is an abundant number, since it is smaller than the sum of its proper divisors (137835512).

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

121356064 is a wasteful number, since it uses less digits than its factorization.

121356064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5509 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 121356064 is about 11016.1728381503. The cubic root of 121356064 is about 495.0934272518.

The spelling of 121356064 in words is "one hundred twenty-one million, three hundred fifty-six thousand, sixty-four".