12122010000096 has 48 divisors (see below), whose sum is σ = 31820528250000. Its totient is φ = 4040638000128.

The previous prime is 12122010000083. The next prime is 12122010000103. The reversal of 12122010000096 is 69000001022121.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13806030 + ... + 14657778.

It is an arithmetic number, because the mean of its divisors is an integer number (662927671875).

Almost surely, 2^{12122010000096} is an apocalyptic number.

12122010000096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12122010000096 is an abundant number, since it is smaller than the sum of its proper divisors (19698518249904).

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

12122010000096 is a wasteful number, since it uses less digits than its factorization.

12122010000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000011 (or 1000003 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 12122010000096 in words is "twelve trillion, one hundred twenty-two billion, ten million, ninety-six", and thus it is an aban number.