121301664 has 192 divisors, whose sum is σ = 382112640. Its totient is φ = 33259520.

The previous prime is 121301641. The next prime is 121301669. The reversal of 121301664 is 466103121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (121301669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520492 + ... + 520724.

It is an arithmetic number, because the mean of its divisors is an integer number (1990170).

Almost surely, 2^121301664 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 121301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191056320).

121301664 is an abundant number, since it is smaller than the sum of its proper divisors (260810976).

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

121301664 is a wasteful number, since it uses less digits than its factorization.

121301664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 121301664 is about 11013.7034643212. The cubic root of 121301664 is about 495.0194380695.

Adding to 121301664 its reverse (466103121), we get a palindrome (587404785).

The spelling of 121301664 in words is "one hundred twenty-one million, three hundred one thousand, six hundred sixty-four".