103822000128000 has 3360 divisors, whose sum is σ = 486430584127488. Its totient is φ = 21403533312000.

The previous prime is 103822000127947. The next prime is 103822000128017. The reversal of 103822000128000 is 821000228301.

103822000128000 is a `hidden beast` number, since 1 + 0 + 382 + 2 + 0 + 0 + 0 + 1 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 817496063937 + ... + 817496064063.

Almost surely, 2^{103822000128000} is an apocalyptic number.

103822000128000 is a gapful number since it is divisible by the number (10) 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 103822000128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243215292063744).

103822000128000 is an abundant number, since it is smaller than the sum of its proper divisors (382608583999488).

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

103822000128000 is an frugal number, since it uses more digits than its factorization.

103822000128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 103822000128000 in words is "one hundred three trillion, eight hundred twenty-two billion, one hundred twenty-eight thousand".