121662816 has 48 divisors (see below), whose sum is σ = 348401088. Its totient is φ = 36867200.

The previous prime is 121662803. The next prime is 121662851. The reversal of 121662816 is 618266121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56550 + ... + 58661.

It is an arithmetic number, because the mean of its divisors is an integer number (7258356).

Almost surely, 2^121662816 is an apocalyptic number.

121662816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121662816 is an abundant number, since it is smaller than the sum of its proper divisors (226738272).

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

121662816 is a wasteful number, since it uses less digits than its factorization.

121662816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115235 (or 115227 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 121662816 is about 11030.0868536925. The cubic root of 121662816 is about 495.5102258633.

The spelling of 121662816 in words is "one hundred twenty-one million, six hundred sixty-two thousand, eight hundred sixteen".