100122848192412 has 192 divisors, whose sum is σ = 282263014656000. Its totient is φ = 30571016546304.

The previous prime is 100122848192401. The next prime is 100122848192431. The reversal of 100122848192412 is 214291848221001.

100122848192412 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 2 + 8 + 48 + 192 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12205264 + ... + 18687272.

It is an arithmetic number, because the mean of its divisors is an integer number (1470119868000).

Almost surely, 2^{100122848192412} is an apocalyptic number.

100122848192412 is a gapful number since it is divisible by the number (12) 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 100122848192412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141131507328000).

100122848192412 is an abundant number, since it is smaller than the sum of its proper divisors (182140166463588).

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

100122848192412 is a wasteful number, since it uses less digits than its factorization.

100122848192412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482265 (or 6482257 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 100122848192412 in words is "one hundred trillion, one hundred twenty-two billion, eight hundred forty-eight million, one hundred ninety-two thousand, four hundred twelve".