122416340665200 has 120 divisors (see below), whose sum is σ = 415207423760688. Its totient is φ = 30724101181440.

The previous prime is 122416340665187. The next prime is 122416340665261. The reversal of 122416340665200 is 2566043614221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3000380107 + ... + 3000420906.

Almost surely, 2^{122416340665200} is an apocalyptic number.

122416340665200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122416340665200 is an abundant number, since it is smaller than the sum of its proper divisors (292791083095488).

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

122416340665200 is a wasteful number, since it uses less digits than its factorization.

122416340665200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000801051 (or 6000801040 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 122416340665200 in words is "one hundred twenty-two trillion, four hundred sixteen billion, three hundred forty million, six hundred sixty-five thousand, two hundred".