121552704 has 224 divisors, whose sum is σ = 440375040. Its totient is φ = 32016384.

The previous prime is 121552681. The next prime is 121552721. The reversal of 121552704 is 407255121.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156862 + ... + 157634.

It is an arithmetic number, because the mean of its divisors is an integer number (1965960).

Almost surely, 2^121552704 is an apocalyptic number.

121552704 is a gapful number since it is divisible by the number (14) 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 121552704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220187520).

121552704 is an abundant number, since it is smaller than the sum of its proper divisors (318822336).

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

121552704 is a wasteful number, since it uses less digits than its factorization.

121552704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 121552704 is about 11025.0942853111. The cubic root of 121552704 is about 495.3606921149.

The spelling of 121552704 in words is "one hundred twenty-one million, five hundred fifty-two thousand, seven hundred four".